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Finding the Fourth Proportional to 11,167.90, 16,740.19 and 3,769.81

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Solution

The fourth proportional to 11,167.90, 16,740.19 and 3,769.81 is: 5,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.90 : 16,740.19 = 3,769.81 : x
  2. Step 2: Convert to fraction form
    11,167.90/16,740.19 = 3,769.81/x
  3. Step 3: Cross multiply
    11,167.90x = 16,740.19 × 3,769.81
  4. Step 4: Simplify right side
    11,167.90x = 63,107,335.66
  5. Step 5: Solve for x
    x = 63,107,335.66/11,167.90
  6. Step 6: Final answer
    x = 5,650.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.