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Finding the Fourth Proportional to 8,243.42, 11,375.92 and 4,466.61

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Solution

The fourth proportional to 8,243.42, 11,375.92 and 4,466.61 is: 6,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.42 : 11,375.92 = 4,466.61 : x
  2. Step 2: Convert to fraction form
    8,243.42/11,375.92 = 4,466.61/x
  3. Step 3: Cross multiply
    8,243.42x = 11,375.92 × 4,466.61
  4. Step 4: Simplify right side
    8,243.42x = 50,811,798.03
  5. Step 5: Solve for x
    x = 50,811,798.03/8,243.42
  6. Step 6: Final answer
    x = 6,163.92

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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.