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Finding the Fourth Proportional to 8,720.92, 13,081.38 and 2,564.92

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Solution

The fourth proportional to 8,720.92, 13,081.38 and 2,564.92 is: 3,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.92 : 13,081.38 = 2,564.92 : x
  2. Step 2: Convert to fraction form
    8,720.92/13,081.38 = 2,564.92/x
  3. Step 3: Cross multiply
    8,720.92x = 13,081.38 × 2,564.92
  4. Step 4: Simplify right side
    8,720.92x = 33,552,693.19
  5. Step 5: Solve for x
    x = 33,552,693.19/8,720.92
  6. Step 6: Final answer
    x = 3,847.38

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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.