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Finding the Fourth Proportional to 8,273.92, 12,412.40 and 2,727.60

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Solution

The fourth proportional to 8,273.92, 12,412.40 and 2,727.60 is: 4,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.92 : 12,412.40 = 2,727.60 : x
  2. Step 2: Convert to fraction form
    8,273.92/12,412.40 = 2,727.60/x
  3. Step 3: Cross multiply
    8,273.92x = 12,412.40 × 2,727.60
  4. Step 4: Simplify right side
    8,273.92x = 33,856,062.24
  5. Step 5: Solve for x
    x = 33,856,062.24/8,273.92
  6. Step 6: Final answer
    x = 4,091.90

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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.