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Finding the Fourth Proportional to 8,269.86, 12,402.36 and 2,425.71

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Solution

The fourth proportional to 8,269.86, 12,402.36 and 2,425.71 is: 3,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.86 : 12,402.36 = 2,425.71 : x
  2. Step 2: Convert to fraction form
    8,269.86/12,402.36 = 2,425.71/x
  3. Step 3: Cross multiply
    8,269.86x = 12,402.36 × 2,425.71
  4. Step 4: Simplify right side
    8,269.86x = 30,084,528.68
  5. Step 5: Solve for x
    x = 30,084,528.68/8,269.86
  6. Step 6: Final answer
    x = 3,637.85

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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.