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Finding the Fourth Proportional to 7,238.49, 10,842.21 and 6,449.82

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Solution

The fourth proportional to 7,238.49, 10,842.21 and 6,449.82 is: 9,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.49 : 10,842.21 = 6,449.82 : x
  2. Step 2: Convert to fraction form
    7,238.49/10,842.21 = 6,449.82/x
  3. Step 3: Cross multiply
    7,238.49x = 10,842.21 × 6,449.82
  4. Step 4: Simplify right side
    7,238.49x = 69,930,302.90
  5. Step 5: Solve for x
    x = 69,930,302.90/7,238.49
  6. Step 6: Final answer
    x = 9,660.90

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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.