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The distance from -12 to 4 on number line is 16 units.
To "insert 4 arithmetic mean between -12 and 4" means to divide this distance by 5 equal intervals / (or segments).
Then the length of each such segment is
= 3.2; so the arithmetic means to insert are
-12 + 3.2 = -8.8;
-8.8 + 3.2 = -5.6;
-5.6 + 3.2 = -2.4;
-2.4 + 3.2 = 0.8.
ANSWER. The arithmetic means to insert are -8.8, -5.6, -2.4 and 0.8.
Solved.