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Finding the Fourth Proportional to 7,542.46, 11,302.14 and 3,839.14

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Solution

The fourth proportional to 7,542.46, 11,302.14 and 3,839.14 is: 5,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.46 : 11,302.14 = 3,839.14 : x
  2. Step 2: Convert to fraction form
    7,542.46/11,302.14 = 3,839.14/x
  3. Step 3: Cross multiply
    7,542.46x = 11,302.14 × 3,839.14
  4. Step 4: Simplify right side
    7,542.46x = 43,390,497.76
  5. Step 5: Solve for x
    x = 43,390,497.76/7,542.46
  6. Step 6: Final answer
    x = 5,752.83

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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.