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Finding the Fourth Proportional to 11,591.76, 15,996.66 and 6,286.59

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Solution

The fourth proportional to 11,591.76, 15,996.66 and 6,286.59 is: 8,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.76 : 15,996.66 = 6,286.59 : x
  2. Step 2: Convert to fraction form
    11,591.76/15,996.66 = 6,286.59/x
  3. Step 3: Cross multiply
    11,591.76x = 15,996.66 × 6,286.59
  4. Step 4: Simplify right side
    11,591.76x = 100,564,442.79
  5. Step 5: Solve for x
    x = 100,564,442.79/11,591.76
  6. Step 6: Final answer
    x = 8,675.51

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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.