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Finding the Fourth Proportional to 8,286.91, 11,432.31 and 5,450.64

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Solution

The fourth proportional to 8,286.91, 11,432.31 and 5,450.64 is: 7,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.91 : 11,432.31 = 5,450.64 : x
  2. Step 2: Convert to fraction form
    8,286.91/11,432.31 = 5,450.64/x
  3. Step 3: Cross multiply
    8,286.91x = 11,432.31 × 5,450.64
  4. Step 4: Simplify right side
    8,286.91x = 62,313,453.16
  5. Step 5: Solve for x
    x = 62,313,453.16/8,286.91
  6. Step 6: Final answer
    x = 7,519.51

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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.