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Finding the Fourth Proportional to 10,510.72, 15,761.20 and 6,129.44

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Solution

The fourth proportional to 10,510.72, 15,761.20 and 6,129.44 is: 9,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.72 : 15,761.20 = 6,129.44 : x
  2. Step 2: Convert to fraction form
    10,510.72/15,761.20 = 6,129.44/x
  3. Step 3: Cross multiply
    10,510.72x = 15,761.20 × 6,129.44
  4. Step 4: Simplify right side
    10,510.72x = 96,607,329.73
  5. Step 5: Solve for x
    x = 96,607,329.73/10,510.72
  6. Step 6: Final answer
    x = 9,191.31

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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.