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Finding the Fourth Proportional to 10,781.42, 16,171.99 and 3,761.42

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Solution

The fourth proportional to 10,781.42, 16,171.99 and 3,761.42 is: 5,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.42 : 16,171.99 = 3,761.42 : x
  2. Step 2: Convert to fraction form
    10,781.42/16,171.99 = 3,761.42/x
  3. Step 3: Cross multiply
    10,781.42x = 16,171.99 × 3,761.42
  4. Step 4: Simplify right side
    10,781.42x = 60,829,556.36
  5. Step 5: Solve for x
    x = 60,829,556.36/10,781.42
  6. Step 6: Final answer
    x = 5,642.08

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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.