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Finding the Fourth Proportional to 8,411.29, 12,617.29 and 3,145.78

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Solution

The fourth proportional to 8,411.29, 12,617.29 and 3,145.78 is: 4,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.29 : 12,617.29 = 3,145.78 : x
  2. Step 2: Convert to fraction form
    8,411.29/12,617.29 = 3,145.78/x
  3. Step 3: Cross multiply
    8,411.29x = 12,617.29 × 3,145.78
  4. Step 4: Simplify right side
    8,411.29x = 39,691,147.59
  5. Step 5: Solve for x
    x = 39,691,147.59/8,411.29
  6. Step 6: Final answer
    x = 4,718.79

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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.