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Finding the Fourth Proportional to 8,201.92, 12,296.92 and 3,270.08

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Solution

The fourth proportional to 8,201.92, 12,296.92 and 3,270.08 is: 4,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.92 : 12,296.92 = 3,270.08 : x
  2. Step 2: Convert to fraction form
    8,201.92/12,296.92 = 3,270.08/x
  3. Step 3: Cross multiply
    8,201.92x = 12,296.92 × 3,270.08
  4. Step 4: Simplify right side
    8,201.92x = 40,211,912.15
  5. Step 5: Solve for x
    x = 40,211,912.15/8,201.92
  6. Step 6: Final answer
    x = 4,902.74

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Why These Related Problems?

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