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Finding the Fourth Proportional to 7,542.86, 11,306.08 and 6,443.90

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Solution

The fourth proportional to 7,542.86, 11,306.08 and 6,443.90 is: 9,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.86 : 11,306.08 = 6,443.90 : x
  2. Step 2: Convert to fraction form
    7,542.86/11,306.08 = 6,443.90/x
  3. Step 3: Cross multiply
    7,542.86x = 11,306.08 × 6,443.90
  4. Step 4: Simplify right side
    7,542.86x = 72,855,160.16
  5. Step 5: Solve for x
    x = 72,855,160.16/7,542.86
  6. Step 6: Final answer
    x = 9,658.82

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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.