TAKOBOTO

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じぶんたちのもっているちからをしあいでだしきれば、きっとかてますよ。

If they can put forth every ounce of their energy at the game, they'll surely win.

３かんもあるながいしょうせつを１ねんかけてよみきった。

That three part novel took me a year to read completely.

このへやに、ぜんいんいりきるのか。

You goin't'get everybody in this tiny room are you?

ダイエットちゅうのくせにかのじょはケーキをたべきりました。

Even though (despite the fact) she was on a diet, she ate all of the cake. (ate it to the end)

さあさあ、すわってつかれきったあしをやすめなさい。

Come on, sit down and rest your weary legs.

そのじじつはだれにでもわかりきったことだ。

The fact is apparent to everybody.

ハリーはなんとかそのかわをおよぎきった。

Harry managed to swim right across the river.

そのうごきがつたえきれないぶぶんもありますので、ぜひデモサイトのほうをごらんください。

There is a part I cannot fully explain, so please checkout the demo website.

ねんに、はイギリスかいきょうのはばをおよぎきった。

In 1875, Matthew Webb swam the breadth of the English Channel from beginning to end.

イギリスかいきょうのはばをおよぎきるのはかんたんなことではありません。

Swimming the entire length of the English Channel is not easy.

わたしは、ページもあるほんを、あまりおもしろかったのでいちばんで、よみきった。

I read a book 1000 pages long in one night because it was so interesting.

かれは、やまのなかでみちにまよってにちかんもみずだけですごしたので、はっけんされたときはすっかりからだがよわりきっていた。

He got lost in the mountains and lived ten full days on nothing but water, so when he was found he was extremely weak.

ちちは、まいにちつかれきってかいしゃからかえってくる。

My father comes home from work dead tired every night.

こんなにたくさん、たべきれません。すこしのこしてもいいですか。

I can't possibly eat all of this. Is it all right if a little bit is left?

かのじょはメートルをはしりきりました。

She ran a full 100 meter.

わたしはつかれきっていたが、それにもかかわらずねむれなかった。

I was completely tired ,but I could't sleep nevertheless.

かれはどくしょにひたりきっていた。

He was completely engrossed in (reading) the book.

かのじょのめはガラスのようにすみきっている。

Her eyes are (as) clear as glass.

にんげんはいつかはちきゅうにのこっているせきゆをすべてつかいきってしまうだろう。

Human beings will someday use up all the ramaining oil supplies on earth.

ヤンキースは７かい２てんをいれ、そのまま５たい３でにげきった。

The Yankees scored two runs in the seventh and held on for a 5-3 victory.

このシャンプーをつかいきった。

I used up the shampoo completely

かのじょは、じぶんがただしいといいきった。

She declared that she was right.

-kiru is an auxiliary verb that shows you did something completely.

IMABI

Formed from Verb -masu + kiru
Note that 'kiru' conjugates like a normal verb
(e.g. past tense, negative etc are possible)
Vm = Verb -masu base

Amatuka

is this somehow related to shimau which also means to complete?

infinite_trial

I believe kiru is more informal and prose in nature than shimau.

eidolon_shell

The difference between shimau and kiru is not a matter of informal and formal, I don't use the words in that way as a native.Their nuance are different and they are used in a different way.
Kiru would be one intend to finish doing something "to the end."
Shiamu would be one finish something, "sometimes" with the nuance it was against one's will.
ハリーはなんとかその川を泳ぎきった。 ex4654
Harry managed to swim across the river( with his intension.)
ハリーはなんとかその川を泳いで渡ってしまった。
Harry somehow managed to swim across the river.

ダイエット中のくせに彼女はケーキを食べきりました。 ex #1075
Even though (despite the fact) she was on a diet, she ate all of the cake. (ate it to the end) . (She ate all knowing what she was doing.)
ダイエット中のくせに彼女はケーキを食べてしまった。
(I don't know she ate cake all or not, anyway) although she is on diet, she ate a cake (as she could not stop herself.)

夏休みが前に、宿題をやりきろう。
Let's finish all the homework before summer vacation starts.
夏休みが前に、宿題をできるだけやってしまおう。
Let's finish homework as much as we can before summer vacation.

atsui_nemurenai

夏休み前に、instead of 夏休みが前に、

Miki

きるalso shows that something has reached its limit. ex #6034 and ex #6035

angelitosh2004

Miki? 夏休みの前にと言えば いいじゃないか？

tigert

4655 seems to be a slightly different case, 'iikiru' 'to declare ouright', rather than any meaning of doing something to the end.

mochabean