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Finding the Fourth Proportional to 8,229.15, 11,356.17 and 4,452.32

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Solution

The fourth proportional to 8,229.15, 11,356.17 and 4,452.32 is: 6,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.15 : 11,356.17 = 4,452.32 : x
  2. Step 2: Convert to fraction form
    8,229.15/11,356.17 = 4,452.32/x
  3. Step 3: Cross multiply
    8,229.15x = 11,356.17 × 4,452.32
  4. Step 4: Simplify right side
    8,229.15x = 50,561,246.03
  5. Step 5: Solve for x
    x = 50,561,246.03/8,229.15
  6. Step 6: Final answer
    x = 6,144.16

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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.