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Finding the Fourth Proportional to 8,217.74, 12,327.24 and 2,374.40

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Solution

The fourth proportional to 8,217.74, 12,327.24 and 2,374.40 is: 3,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.74 : 12,327.24 = 2,374.40 : x
  2. Step 2: Convert to fraction form
    8,217.74/12,327.24 = 2,374.40/x
  3. Step 3: Cross multiply
    8,217.74x = 12,327.24 × 2,374.40
  4. Step 4: Simplify right side
    8,217.74x = 29,269,798.66
  5. Step 5: Solve for x
    x = 29,269,798.66/8,217.74
  6. Step 6: Final answer
    x = 3,561.78

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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.