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Finding the Fourth Proportional to 8,327.34, 11,475.92 and 5,965.38

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Solution

The fourth proportional to 8,327.34, 11,475.92 and 5,965.38 is: 8,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.34 : 11,475.92 = 5,965.38 : x
  2. Step 2: Convert to fraction form
    8,327.34/11,475.92 = 5,965.38/x
  3. Step 3: Cross multiply
    8,327.34x = 11,475.92 × 5,965.38
  4. Step 4: Simplify right side
    8,327.34x = 68,458,223.65
  5. Step 5: Solve for x
    x = 68,458,223.65/8,327.34
  6. Step 6: Final answer
    x = 8,220.90

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Why These Related Problems?

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