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Finding the Fourth Proportional to 6,747.60, 10,121.16 and 3,819.72

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Solution

The fourth proportional to 6,747.60, 10,121.16 and 3,819.72 is: 5,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.60 : 10,121.16 = 3,819.72 : x
  2. Step 2: Convert to fraction form
    6,747.60/10,121.16 = 3,819.72/x
  3. Step 3: Cross multiply
    6,747.60x = 10,121.16 × 3,819.72
  4. Step 4: Simplify right side
    6,747.60x = 38,659,997.28
  5. Step 5: Solve for x
    x = 38,659,997.28/6,747.60
  6. Step 6: Final answer
    x = 5,729.44

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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.