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Finding the Fourth Proportional to 8,201.14, 12,301.76 and 2,654.46

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Solution

The fourth proportional to 8,201.14, 12,301.76 and 2,654.46 is: 3,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.14 : 12,301.76 = 2,654.46 : x
  2. Step 2: Convert to fraction form
    8,201.14/12,301.76 = 2,654.46/x
  3. Step 3: Cross multiply
    8,201.14x = 12,301.76 × 2,654.46
  4. Step 4: Simplify right side
    8,201.14x = 32,654,529.85
  5. Step 5: Solve for x
    x = 32,654,529.85/8,201.14
  6. Step 6: Final answer
    x = 3,981.71

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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.