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Finding the Fourth Proportional to 8,269.71, 12,402.69 and 2,426.77

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Solution

The fourth proportional to 8,269.71, 12,402.69 and 2,426.77 is: 3,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.71 : 12,402.69 = 2,426.77 : x
  2. Step 2: Convert to fraction form
    8,269.71/12,402.69 = 2,426.77/x
  3. Step 3: Cross multiply
    8,269.71x = 12,402.69 × 2,426.77
  4. Step 4: Simplify right side
    8,269.71x = 30,098,476.01
  5. Step 5: Solve for x
    x = 30,098,476.01/8,269.71
  6. Step 6: Final answer
    x = 3,639.60

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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.