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Finding the Fourth Proportional to 8,306.38, 12,463.23 and 4,411.09

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Solution

The fourth proportional to 8,306.38, 12,463.23 and 4,411.09 is: 6,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.38 : 12,463.23 = 4,411.09 : x
  2. Step 2: Convert to fraction form
    8,306.38/12,463.23 = 4,411.09/x
  3. Step 3: Cross multiply
    8,306.38x = 12,463.23 × 4,411.09
  4. Step 4: Simplify right side
    8,306.38x = 54,976,429.22
  5. Step 5: Solve for x
    x = 54,976,429.22/8,306.38
  6. Step 6: Final answer
    x = 6,618.58

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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.