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Finding the Fourth Proportional to 7,974.38, 11,961.72 and 3,471

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Solution

The fourth proportional to 7,974.38, 11,961.72 and 3,471 is: 5,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.38 : 11,961.72 = 3,471 : x
  2. Step 2: Convert to fraction form
    7,974.38/11,961.72 = 3,471/x
  3. Step 3: Cross multiply
    7,974.38x = 11,961.72 × 3,471
  4. Step 4: Simplify right side
    7,974.38x = 41,519,130.12
  5. Step 5: Solve for x
    x = 41,519,130.12/7,974.38
  6. Step 6: Final answer
    x = 5,206.57

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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.