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Finding the Fourth Proportional to 10,154.68, 15,232.02 and 6,691.12

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Solution

The fourth proportional to 10,154.68, 15,232.02 and 6,691.12 is: 10,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.68 : 15,232.02 = 6,691.12 : x
  2. Step 2: Convert to fraction form
    10,154.68/15,232.02 = 6,691.12/x
  3. Step 3: Cross multiply
    10,154.68x = 15,232.02 × 6,691.12
  4. Step 4: Simplify right side
    10,154.68x = 101,919,273.66
  5. Step 5: Solve for x
    x = 101,919,273.66/10,154.68
  6. Step 6: Final answer
    x = 10,036.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.