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Finding the Fourth Proportional to 8,096.20, 12,149.10 and 5,330.80

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Solution

The fourth proportional to 8,096.20, 12,149.10 and 5,330.80 is: 7,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.20 : 12,149.10 = 5,330.80 : x
  2. Step 2: Convert to fraction form
    8,096.20/12,149.10 = 5,330.80/x
  3. Step 3: Cross multiply
    8,096.20x = 12,149.10 × 5,330.80
  4. Step 4: Simplify right side
    8,096.20x = 64,764,422.28
  5. Step 5: Solve for x
    x = 64,764,422.28/8,096.20
  6. Step 6: Final answer
    x = 7,999.36

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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.