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Finding the Fourth Proportional to 6,884.28, 10,327.36 and 5,098.24

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Solution

The fourth proportional to 6,884.28, 10,327.36 and 5,098.24 is: 7,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.28 : 10,327.36 = 5,098.24 : x
  2. Step 2: Convert to fraction form
    6,884.28/10,327.36 = 5,098.24/x
  3. Step 3: Cross multiply
    6,884.28x = 10,327.36 × 5,098.24
  4. Step 4: Simplify right side
    6,884.28x = 52,651,359.85
  5. Step 5: Solve for x
    x = 52,651,359.85/6,884.28
  6. Step 6: Final answer
    x = 7,648.06

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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.