Page inspector might be slightly different from pure IE 10 on your computer. They have different user agents at least:
Page inspector:
Mozilla/5.0 (compatible; MSIE 10.0; Windows NT 6.1; WOW64; Trident/6.0; Eureka/1.0)
IE10:
Mozilla/5.0 (compatible; MSIE 10.0; Windows NT 6.1; WOW64; Trident/6.0)
Is there any problem with it? There is probably nothing you can do about it.
EDIT: Add
<meta http-equiv="X-UA-Compatible" content="IE=Edge" />
to your markup.