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Finding the Fourth Proportional to 11,249.87, 16,874.96 and 3,854.16

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Solution

The fourth proportional to 11,249.87, 16,874.96 and 3,854.16 is: 5,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.87 : 16,874.96 = 3,854.16 : x
  2. Step 2: Convert to fraction form
    11,249.87/16,874.96 = 3,854.16/x
  3. Step 3: Cross multiply
    11,249.87x = 16,874.96 × 3,854.16
  4. Step 4: Simplify right side
    11,249.87x = 65,038,776.56
  5. Step 5: Solve for x
    x = 65,038,776.56/11,249.87
  6. Step 6: Final answer
    x = 5,781.29

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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.