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Finding the Fourth Proportional to 8,100.20, 12,134.10 and 5,475.80

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Solution

The fourth proportional to 8,100.20, 12,134.10 and 5,475.80 is: 8,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,100.20 : 12,134.10 = 5,475.80 : x
  2. Step 2: Convert to fraction form
    8,100.20/12,134.10 = 5,475.80/x
  3. Step 3: Cross multiply
    8,100.20x = 12,134.10 × 5,475.80
  4. Step 4: Simplify right side
    8,100.20x = 66,443,904.78
  5. Step 5: Solve for x
    x = 66,443,904.78/8,100.20
  6. Step 6: Final answer
    x = 8,202.75

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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.