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Finding the Fourth Proportional to 11,591.96, 15,996.90 and 6,286.94

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Solution

The fourth proportional to 11,591.96, 15,996.90 and 6,286.94 is: 8,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.96 : 15,996.90 = 6,286.94 : x
  2. Step 2: Convert to fraction form
    11,591.96/15,996.90 = 6,286.94/x
  3. Step 3: Cross multiply
    11,591.96x = 15,996.90 × 6,286.94
  4. Step 4: Simplify right side
    11,591.96x = 100,571,550.49
  5. Step 5: Solve for x
    x = 100,571,550.49/11,591.96
  6. Step 6: Final answer
    x = 8,675.97

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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.