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Finding the Fourth Proportional to 11,863.59, 17,781.68 and 4,463.33

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Solution

The fourth proportional to 11,863.59, 17,781.68 and 4,463.33 is: 6,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.59 : 17,781.68 = 4,463.33 : x
  2. Step 2: Convert to fraction form
    11,863.59/17,781.68 = 4,463.33/x
  3. Step 3: Cross multiply
    11,863.59x = 17,781.68 × 4,463.33
  4. Step 4: Simplify right side
    11,863.59x = 79,365,394.57
  5. Step 5: Solve for x
    x = 79,365,394.57/11,863.59
  6. Step 6: Final answer
    x = 6,689.83

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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.