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Finding the Fourth Proportional to 11,249.76, 16,871.94 and 4,227.78

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Solution

The fourth proportional to 11,249.76, 16,871.94 and 4,227.78 is: 6,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.76 : 16,871.94 = 4,227.78 : x
  2. Step 2: Convert to fraction form
    11,249.76/16,871.94 = 4,227.78/x
  3. Step 3: Cross multiply
    11,249.76x = 16,871.94 × 4,227.78
  4. Step 4: Simplify right side
    11,249.76x = 71,330,850.49
  5. Step 5: Solve for x
    x = 71,330,850.49/11,249.76
  6. Step 6: Final answer
    x = 6,340.66

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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.