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Finding the Fourth Proportional to 8,227.27, 12,343.64 and 5,464.82

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Solution

The fourth proportional to 8,227.27, 12,343.64 and 5,464.82 is: 8,199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.27 : 12,343.64 = 5,464.82 : x
  2. Step 2: Convert to fraction form
    8,227.27/12,343.64 = 5,464.82/x
  3. Step 3: Cross multiply
    8,227.27x = 12,343.64 × 5,464.82
  4. Step 4: Simplify right side
    8,227.27x = 67,455,735.59
  5. Step 5: Solve for x
    x = 67,455,735.59/8,227.27
  6. Step 6: Final answer
    x = 8,199.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.