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Finding the Fourth Proportional to 27,942.11, 41,912.79 and 6,882.40

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Solution

The fourth proportional to 27,942.11, 41,912.79 and 6,882.40 is: 10,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.11 : 41,912.79 = 6,882.40 : x
  2. Step 2: Convert to fraction form
    27,942.11/41,912.79 = 6,882.40/x
  3. Step 3: Cross multiply
    27,942.11x = 41,912.79 × 6,882.40
  4. Step 4: Simplify right side
    27,942.11x = 288,460,585.90
  5. Step 5: Solve for x
    x = 288,460,585.90/27,942.11
  6. Step 6: Final answer
    x = 10,323.51

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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.