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Finding the Fourth Proportional to 8,129.28, 12,191.36 and 2,656

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Solution

The fourth proportional to 8,129.28, 12,191.36 and 2,656 is: 3,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.28 : 12,191.36 = 2,656 : x
  2. Step 2: Convert to fraction form
    8,129.28/12,191.36 = 2,656/x
  3. Step 3: Cross multiply
    8,129.28x = 12,191.36 × 2,656
  4. Step 4: Simplify right side
    8,129.28x = 32,380,252.16
  5. Step 5: Solve for x
    x = 32,380,252.16/8,129.28
  6. Step 6: Final answer
    x = 3,983.16

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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.