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Finding the Fourth Proportional to 12,115.52, 16,715.28 and 7,575.14

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Solution

The fourth proportional to 12,115.52, 16,715.28 and 7,575.14 is: 10,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.52 : 16,715.28 = 7,575.14 : x
  2. Step 2: Convert to fraction form
    12,115.52/16,715.28 = 7,575.14/x
  3. Step 3: Cross multiply
    12,115.52x = 16,715.28 × 7,575.14
  4. Step 4: Simplify right side
    12,115.52x = 126,620,586.14
  5. Step 5: Solve for x
    x = 126,620,586.14/12,115.52
  6. Step 6: Final answer
    x = 10,451.11

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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.