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Finding the Fourth Proportional to 7,961.46, 11,942.76 and 2,118

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Solution

The fourth proportional to 7,961.46, 11,942.76 and 2,118 is: 3,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.46 : 11,942.76 = 2,118 : x
  2. Step 2: Convert to fraction form
    7,961.46/11,942.76 = 2,118/x
  3. Step 3: Cross multiply
    7,961.46x = 11,942.76 × 2,118
  4. Step 4: Simplify right side
    7,961.46x = 25,294,765.68
  5. Step 5: Solve for x
    x = 25,294,765.68/7,961.46
  6. Step 6: Final answer
    x = 3,177.15

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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.