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Finding the Fourth Proportional to 8,067.93, 12,091.50 and 3,906.96

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Solution

The fourth proportional to 8,067.93, 12,091.50 and 3,906.96 is: 5,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.93 : 12,091.50 = 3,906.96 : x
  2. Step 2: Convert to fraction form
    8,067.93/12,091.50 = 3,906.96/x
  3. Step 3: Cross multiply
    8,067.93x = 12,091.50 × 3,906.96
  4. Step 4: Simplify right side
    8,067.93x = 47,241,006.84
  5. Step 5: Solve for x
    x = 47,241,006.84/8,067.93
  6. Step 6: Final answer
    x = 5,855.41

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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.