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Finding the Fourth Proportional to 8,387.74, 12,581.62 and 3,942.15

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Solution

The fourth proportional to 8,387.74, 12,581.62 and 3,942.15 is: 5,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.74 : 12,581.62 = 3,942.15 : x
  2. Step 2: Convert to fraction form
    8,387.74/12,581.62 = 3,942.15/x
  3. Step 3: Cross multiply
    8,387.74x = 12,581.62 × 3,942.15
  4. Step 4: Simplify right side
    8,387.74x = 49,598,576.25
  5. Step 5: Solve for x
    x = 49,598,576.25/8,387.74
  6. Step 6: Final answer
    x = 5,913.22

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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.