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Finding the Fourth Proportional to 8,372.26, 12,550.90 and 3,181.78

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Solution

The fourth proportional to 8,372.26, 12,550.90 and 3,181.78 is: 4,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.26 : 12,550.90 = 3,181.78 : x
  2. Step 2: Convert to fraction form
    8,372.26/12,550.90 = 3,181.78/x
  3. Step 3: Cross multiply
    8,372.26x = 12,550.90 × 3,181.78
  4. Step 4: Simplify right side
    8,372.26x = 39,934,202.60
  5. Step 5: Solve for x
    x = 39,934,202.60/8,372.26
  6. Step 6: Final answer
    x = 4,769.82

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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.