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Finding the Fourth Proportional to 8,057.31, 12,086.28 and 2,511.15

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Solution

The fourth proportional to 8,057.31, 12,086.28 and 2,511.15 is: 3,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.31 : 12,086.28 = 2,511.15 : x
  2. Step 2: Convert to fraction form
    8,057.31/12,086.28 = 2,511.15/x
  3. Step 3: Cross multiply
    8,057.31x = 12,086.28 × 2,511.15
  4. Step 4: Simplify right side
    8,057.31x = 30,350,462.02
  5. Step 5: Solve for x
    x = 30,350,462.02/8,057.31
  6. Step 6: Final answer
    x = 3,766.82

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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.