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Finding the Fourth Proportional to 10,132.62, 15,170.94 and 5,191.62

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Solution

The fourth proportional to 10,132.62, 15,170.94 and 5,191.62 is: 7,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.62 : 15,170.94 = 5,191.62 : x
  2. Step 2: Convert to fraction form
    10,132.62/15,170.94 = 5,191.62/x
  3. Step 3: Cross multiply
    10,132.62x = 15,170.94 × 5,191.62
  4. Step 4: Simplify right side
    10,132.62x = 78,761,755.52
  5. Step 5: Solve for x
    x = 78,761,755.52/10,132.62
  6. Step 6: Final answer
    x = 7,773.09

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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.