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Finding the Fourth Proportional to 11,906.68, 17,871.09 and 6,067.66

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Solution

The fourth proportional to 11,906.68, 17,871.09 and 6,067.66 is: 9,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.68 : 17,871.09 = 6,067.66 : x
  2. Step 2: Convert to fraction form
    11,906.68/17,871.09 = 6,067.66/x
  3. Step 3: Cross multiply
    11,906.68x = 17,871.09 × 6,067.66
  4. Step 4: Simplify right side
    11,906.68x = 108,435,697.95
  5. Step 5: Solve for x
    x = 108,435,697.95/11,906.68
  6. Step 6: Final answer
    x = 9,107.13

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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.