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Finding the Fourth Proportional to 7,439.97, 10,267.20 and 4,082.82

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Solution

The fourth proportional to 7,439.97, 10,267.20 and 4,082.82 is: 5,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.97 : 10,267.20 = 4,082.82 : x
  2. Step 2: Convert to fraction form
    7,439.97/10,267.20 = 4,082.82/x
  3. Step 3: Cross multiply
    7,439.97x = 10,267.20 × 4,082.82
  4. Step 4: Simplify right side
    7,439.97x = 41,919,129.50
  5. Step 5: Solve for x
    x = 41,919,129.50/7,439.97
  6. Step 6: Final answer
    x = 5,634.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.