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Finding the Fourth Proportional to 12,110.68, 16,714.32 and 7,075.16

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Solution

The fourth proportional to 12,110.68, 16,714.32 and 7,075.16 is: 9,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.68 : 16,714.32 = 7,075.16 : x
  2. Step 2: Convert to fraction form
    12,110.68/16,714.32 = 7,075.16/x
  3. Step 3: Cross multiply
    12,110.68x = 16,714.32 × 7,075.16
  4. Step 4: Simplify right side
    12,110.68x = 118,256,488.29
  5. Step 5: Solve for x
    x = 118,256,488.29/12,110.68
  6. Step 6: Final answer
    x = 9,764.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.