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Finding the Fourth Proportional to 8,229.64, 11,356.88 and 4,452.81

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Solution

The fourth proportional to 8,229.64, 11,356.88 and 4,452.81 is: 6,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.64 : 11,356.88 = 4,452.81 : x
  2. Step 2: Convert to fraction form
    8,229.64/11,356.88 = 4,452.81/x
  3. Step 3: Cross multiply
    8,229.64x = 11,356.88 × 4,452.81
  4. Step 4: Simplify right side
    8,229.64x = 50,570,028.83
  5. Step 5: Solve for x
    x = 50,570,028.83/8,229.64
  6. Step 6: Final answer
    x = 6,144.87

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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.