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Finding the Fourth Proportional to 10,517.67, 15,691.65 and 10,134.81

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Solution

The fourth proportional to 10,517.67, 15,691.65 and 10,134.81 is: 15,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.67 : 15,691.65 = 10,134.81 : x
  2. Step 2: Convert to fraction form
    10,517.67/15,691.65 = 10,134.81/x
  3. Step 3: Cross multiply
    10,517.67x = 15,691.65 × 10,134.81
  4. Step 4: Simplify right side
    10,517.67x = 159,031,891.34
  5. Step 5: Solve for x
    x = 159,031,891.34/10,517.67
  6. Step 6: Final answer
    x = 15,120.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.