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Finding the Fourth Proportional to 8,565.92, 12,850.24 and 3,020.96

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Solution

The fourth proportional to 8,565.92, 12,850.24 and 3,020.96 is: 4,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.92 : 12,850.24 = 3,020.96 : x
  2. Step 2: Convert to fraction form
    8,565.92/12,850.24 = 3,020.96/x
  3. Step 3: Cross multiply
    8,565.92x = 12,850.24 × 3,020.96
  4. Step 4: Simplify right side
    8,565.92x = 38,820,061.03
  5. Step 5: Solve for x
    x = 38,820,061.03/8,565.92
  6. Step 6: Final answer
    x = 4,531.92

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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.