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Finding the Fourth Proportional to 8,171.56, 12,258.84 and 5,400.56

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Solution

The fourth proportional to 8,171.56, 12,258.84 and 5,400.56 is: 8,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.56 : 12,258.84 = 5,400.56 : x
  2. Step 2: Convert to fraction form
    8,171.56/12,258.84 = 5,400.56/x
  3. Step 3: Cross multiply
    8,171.56x = 12,258.84 × 5,400.56
  4. Step 4: Simplify right side
    8,171.56x = 66,204,600.95
  5. Step 5: Solve for x
    x = 66,204,600.95/8,171.56
  6. Step 6: Final answer
    x = 8,101.83

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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.