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Finding the Fourth Proportional to 7,834.38, 11,745.40 and 3,882.92

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Solution

The fourth proportional to 7,834.38, 11,745.40 and 3,882.92 is: 5,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.38 : 11,745.40 = 3,882.92 : x
  2. Step 2: Convert to fraction form
    7,834.38/11,745.40 = 3,882.92/x
  3. Step 3: Cross multiply
    7,834.38x = 11,745.40 × 3,882.92
  4. Step 4: Simplify right side
    7,834.38x = 45,606,448.57
  5. Step 5: Solve for x
    x = 45,606,448.57/7,834.38
  6. Step 6: Final answer
    x = 5,821.32

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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.