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Finding the Fourth Proportional to 8,306.69, 12,462.44 and 2,463.44

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Solution

The fourth proportional to 8,306.69, 12,462.44 and 2,463.44 is: 3,695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.69 : 12,462.44 = 2,463.44 : x
  2. Step 2: Convert to fraction form
    8,306.69/12,462.44 = 2,463.44/x
  3. Step 3: Cross multiply
    8,306.69x = 12,462.44 × 2,463.44
  4. Step 4: Simplify right side
    8,306.69x = 30,700,473.19
  5. Step 5: Solve for x
    x = 30,700,473.19/8,306.69
  6. Step 6: Final answer
    x = 3,695.87

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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.