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Sorting blocks of lines

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Original source (unix.stackexchange.com)
Tags: awk sorting unix.stackexchange.com
Clipped on: 2017-05-04

I have a file that contains 4n lines. Here is an excerpt from it containing 8 lines

6115 8.88443
6116 6.61875
6118 16.5949
6117 19.4129
6116 6.619 
6117 16.5979 
6118 19.4111
6115 8.88433

What I want to do is sort a block, where each block consists of 4 lines based on the first column. The output for the excerpt should look as shown below.

6115 8.88443
6116 6.61875
6117 19.4129
6118 16.5949
6115 8.88433 
6116 6.619 
6117 16.5979 
6118 19.4111

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