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Finding the Fourth Proportional to 6,882.83, 10,324.92 and 2,201.66

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Solution

The fourth proportional to 6,882.83, 10,324.92 and 2,201.66 is: 3,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.83 : 10,324.92 = 2,201.66 : x
  2. Step 2: Convert to fraction form
    6,882.83/10,324.92 = 2,201.66/x
  3. Step 3: Cross multiply
    6,882.83x = 10,324.92 × 2,201.66
  4. Step 4: Simplify right side
    6,882.83x = 22,731,963.37
  5. Step 5: Solve for x
    x = 22,731,963.37/6,882.83
  6. Step 6: Final answer
    x = 3,302.71

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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.