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Finding the Fourth Proportional to 27,974.85, 41,961.87 and 6,914.90

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Solution

The fourth proportional to 27,974.85, 41,961.87 and 6,914.90 is: 10,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,974.85 : 41,961.87 = 6,914.90 : x
  2. Step 2: Convert to fraction form
    27,974.85/41,961.87 = 6,914.90/x
  3. Step 3: Cross multiply
    27,974.85x = 41,961.87 × 6,914.90
  4. Step 4: Simplify right side
    27,974.85x = 290,162,134.86
  5. Step 5: Solve for x
    x = 290,162,134.86/27,974.85
  6. Step 6: Final answer
    x = 10,372.25

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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.