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Finding the Fourth Proportional to 8,414.79, 12,617.78 and 3,145.47

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Solution

The fourth proportional to 8,414.79, 12,617.78 and 3,145.47 is: 4,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.79 : 12,617.78 = 3,145.47 : x
  2. Step 2: Convert to fraction form
    8,414.79/12,617.78 = 3,145.47/x
  3. Step 3: Cross multiply
    8,414.79x = 12,617.78 × 3,145.47
  4. Step 4: Simplify right side
    8,414.79x = 39,688,832.73
  5. Step 5: Solve for x
    x = 39,688,832.73/8,414.79
  6. Step 6: Final answer
    x = 4,716.56

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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.