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Finding the Fourth Proportional to 6,940.20, 10,410.28 and 2,781.24

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Solution

The fourth proportional to 6,940.20, 10,410.28 and 2,781.24 is: 4,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.20 : 10,410.28 = 2,781.24 : x
  2. Step 2: Convert to fraction form
    6,940.20/10,410.28 = 2,781.24/x
  3. Step 3: Cross multiply
    6,940.20x = 10,410.28 × 2,781.24
  4. Step 4: Simplify right side
    6,940.20x = 28,953,487.15
  5. Step 5: Solve for x
    x = 28,953,487.15/6,940.20
  6. Step 6: Final answer
    x = 4,171.85

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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.