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Finding the Fourth Proportional to 8,171.48, 11,255.64 and 6,399.92

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Solution

The fourth proportional to 8,171.48, 11,255.64 and 6,399.92 is: 8,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.48 : 11,255.64 = 6,399.92 : x
  2. Step 2: Convert to fraction form
    8,171.48/11,255.64 = 6,399.92/x
  3. Step 3: Cross multiply
    8,171.48x = 11,255.64 × 6,399.92
  4. Step 4: Simplify right side
    8,171.48x = 72,035,195.55
  5. Step 5: Solve for x
    x = 72,035,195.55/8,171.48
  6. Step 6: Final answer
    x = 8,815.44

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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.