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Finding the Fourth Proportional to 11,591.82, 15,996.42 and 6,876

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Solution

The fourth proportional to 11,591.82, 15,996.42 and 6,876 is: 9,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.82 : 15,996.42 = 6,876 : x
  2. Step 2: Convert to fraction form
    11,591.82/15,996.42 = 6,876/x
  3. Step 3: Cross multiply
    11,591.82x = 15,996.42 × 6,876
  4. Step 4: Simplify right side
    11,591.82x = 109,991,383.92
  5. Step 5: Solve for x
    x = 109,991,383.92/11,591.82
  6. Step 6: Final answer
    x = 9,488.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.