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Finding the Fourth Proportional to 11,591.82, 15,996.70 and 6,286.64

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Solution

The fourth proportional to 11,591.82, 15,996.70 and 6,286.64 is: 8,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.82 : 15,996.70 = 6,286.64 : x
  2. Step 2: Convert to fraction form
    11,591.82/15,996.70 = 6,286.64/x
  3. Step 3: Cross multiply
    11,591.82x = 15,996.70 × 6,286.64
  4. Step 4: Simplify right side
    11,591.82x = 100,565,494.09
  5. Step 5: Solve for x
    x = 100,565,494.09/11,591.82
  6. Step 6: Final answer
    x = 8,675.56

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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.