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Finding the Fourth Proportional to 7,378.38, 11,081.97 and 7,107.66

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Solution

The fourth proportional to 7,378.38, 11,081.97 and 7,107.66 is: 10,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.38 : 11,081.97 = 7,107.66 : x
  2. Step 2: Convert to fraction form
    7,378.38/11,081.97 = 7,107.66/x
  3. Step 3: Cross multiply
    7,378.38x = 11,081.97 × 7,107.66
  4. Step 4: Simplify right side
    7,378.38x = 78,766,874.89
  5. Step 5: Solve for x
    x = 78,766,874.89/7,378.38
  6. Step 6: Final answer
    x = 10,675.36

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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.