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Finding the Fourth Proportional to 8,199.42, 11,314.24 and 4,661.88

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Solution

The fourth proportional to 8,199.42, 11,314.24 and 4,661.88 is: 6,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.42 : 11,314.24 = 4,661.88 : x
  2. Step 2: Convert to fraction form
    8,199.42/11,314.24 = 4,661.88/x
  3. Step 3: Cross multiply
    8,199.42x = 11,314.24 × 4,661.88
  4. Step 4: Simplify right side
    8,199.42x = 52,745,629.17
  5. Step 5: Solve for x
    x = 52,745,629.17/8,199.42
  6. Step 6: Final answer
    x = 6,432.85

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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.