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Finding the Fourth Proportional to 7,997.80, 11,996.82 and 3,067.72

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Solution

The fourth proportional to 7,997.80, 11,996.82 and 3,067.72 is: 4,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.80 : 11,996.82 = 3,067.72 : x
  2. Step 2: Convert to fraction form
    7,997.80/11,996.82 = 3,067.72/x
  3. Step 3: Cross multiply
    7,997.80x = 11,996.82 × 3,067.72
  4. Step 4: Simplify right side
    7,997.80x = 36,802,884.65
  5. Step 5: Solve for x
    x = 36,802,884.65/7,997.80
  6. Step 6: Final answer
    x = 4,601.63

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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.