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Finding the Fourth Proportional to 12,311.26, 18,469.79 and 3,991.28

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Solution

The fourth proportional to 12,311.26, 18,469.79 and 3,991.28 is: 5,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.26 : 18,469.79 = 3,991.28 : x
  2. Step 2: Convert to fraction form
    12,311.26/18,469.79 = 3,991.28/x
  3. Step 3: Cross multiply
    12,311.26x = 18,469.79 × 3,991.28
  4. Step 4: Simplify right side
    12,311.26x = 73,718,006.09
  5. Step 5: Solve for x
    x = 73,718,006.09/12,311.26
  6. Step 6: Final answer
    x = 5,987.85

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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.