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Finding the Fourth Proportional to 11,524.25, 17,286.78 and 6,591.62

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Solution

The fourth proportional to 11,524.25, 17,286.78 and 6,591.62 is: 9,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.25 : 17,286.78 = 6,591.62 : x
  2. Step 2: Convert to fraction form
    11,524.25/17,286.78 = 6,591.62/x
  3. Step 3: Cross multiply
    11,524.25x = 17,286.78 × 6,591.62
  4. Step 4: Simplify right side
    11,524.25x = 113,947,884.78
  5. Step 5: Solve for x
    x = 113,947,884.78/11,524.25
  6. Step 6: Final answer
    x = 9,887.66

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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.