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Finding the Fourth Proportional to 8,409.92, 12,614.88 and 2,254.08

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Solution

The fourth proportional to 8,409.92, 12,614.88 and 2,254.08 is: 3,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.92 : 12,614.88 = 2,254.08 : x
  2. Step 2: Convert to fraction form
    8,409.92/12,614.88 = 2,254.08/x
  3. Step 3: Cross multiply
    8,409.92x = 12,614.88 × 2,254.08
  4. Step 4: Simplify right side
    8,409.92x = 28,434,948.71
  5. Step 5: Solve for x
    x = 28,434,948.71/8,409.92
  6. Step 6: Final answer
    x = 3,381.12

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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.