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Finding the Fourth Proportional to 8,251.92, 12,378.40 and 2,409.04

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Solution

The fourth proportional to 8,251.92, 12,378.40 and 2,409.04 is: 3,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.92 : 12,378.40 = 2,409.04 : x
  2. Step 2: Convert to fraction form
    8,251.92/12,378.40 = 2,409.04/x
  3. Step 3: Cross multiply
    8,251.92x = 12,378.40 × 2,409.04
  4. Step 4: Simplify right side
    8,251.92x = 29,820,060.74
  5. Step 5: Solve for x
    x = 29,820,060.74/8,251.92
  6. Step 6: Final answer
    x = 3,613.71

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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.