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Finding the Fourth Proportional to 8,177.28, 11,284.68 and 4,451.28

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Solution

The fourth proportional to 8,177.28, 11,284.68 and 4,451.28 is: 6,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.28 : 11,284.68 = 4,451.28 : x
  2. Step 2: Convert to fraction form
    8,177.28/11,284.68 = 4,451.28/x
  3. Step 3: Cross multiply
    8,177.28x = 11,284.68 × 4,451.28
  4. Step 4: Simplify right side
    8,177.28x = 50,231,270.39
  5. Step 5: Solve for x
    x = 50,231,270.39/8,177.28
  6. Step 6: Final answer
    x = 6,142.78

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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.