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Finding the Fourth Proportional to 11,327.70, 16,991.52 and 7,431.18

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Solution

The fourth proportional to 11,327.70, 16,991.52 and 7,431.18 is: 11,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.70 : 16,991.52 = 7,431.18 : x
  2. Step 2: Convert to fraction form
    11,327.70/16,991.52 = 7,431.18/x
  3. Step 3: Cross multiply
    11,327.70x = 16,991.52 × 7,431.18
  4. Step 4: Simplify right side
    11,327.70x = 126,267,043.59
  5. Step 5: Solve for x
    x = 126,267,043.59/11,327.70
  6. Step 6: Final answer
    x = 11,146.75

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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.