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Finding the Fourth Proportional to 7,997.97, 11,998.86 and 3,067.50

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Solution

The fourth proportional to 7,997.97, 11,998.86 and 3,067.50 is: 4,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.97 : 11,998.86 = 3,067.50 : x
  2. Step 2: Convert to fraction form
    7,997.97/11,998.86 = 3,067.50/x
  3. Step 3: Cross multiply
    7,997.97x = 11,998.86 × 3,067.50
  4. Step 4: Simplify right side
    7,997.97x = 36,806,503.05
  5. Step 5: Solve for x
    x = 36,806,503.05/7,997.97
  6. Step 6: Final answer
    x = 4,601.98

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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.