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Finding the Fourth Proportional to 8,449.35, 12,677.55 and 3,766.14

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Solution

The fourth proportional to 8,449.35, 12,677.55 and 3,766.14 is: 5,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.35 : 12,677.55 = 3,766.14 : x
  2. Step 2: Convert to fraction form
    8,449.35/12,677.55 = 3,766.14/x
  3. Step 3: Cross multiply
    8,449.35x = 12,677.55 × 3,766.14
  4. Step 4: Simplify right side
    8,449.35x = 47,745,428.16
  5. Step 5: Solve for x
    x = 47,745,428.16/8,449.35
  6. Step 6: Final answer
    x = 5,650.78

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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.