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Finding the Fourth Proportional to 8,246.31, 12,366.61 and 5,487.50

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Solution

The fourth proportional to 8,246.31, 12,366.61 and 5,487.50 is: 8,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.31 : 12,366.61 = 5,487.50 : x
  2. Step 2: Convert to fraction form
    8,246.31/12,366.61 = 5,487.50/x
  3. Step 3: Cross multiply
    8,246.31x = 12,366.61 × 5,487.50
  4. Step 4: Simplify right side
    8,246.31x = 67,861,772.38
  5. Step 5: Solve for x
    x = 67,861,772.38/8,246.31
  6. Step 6: Final answer
    x = 8,229.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.