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Finding the Fourth Proportional to 8,102.28, 12,129.12 and 5,763

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Solution

The fourth proportional to 8,102.28, 12,129.12 and 5,763 is: 8,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.28 : 12,129.12 = 5,763 : x
  2. Step 2: Convert to fraction form
    8,102.28/12,129.12 = 5,763/x
  3. Step 3: Cross multiply
    8,102.28x = 12,129.12 × 5,763
  4. Step 4: Simplify right side
    8,102.28x = 69,900,118.56
  5. Step 5: Solve for x
    x = 69,900,118.56/8,102.28
  6. Step 6: Final answer
    x = 8,627.22

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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.