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Finding the Fourth Proportional to 7,960.84, 11,947.48 and 5,512.82

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Solution

The fourth proportional to 7,960.84, 11,947.48 and 5,512.82 is: 8,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.84 : 11,947.48 = 5,512.82 : x
  2. Step 2: Convert to fraction form
    7,960.84/11,947.48 = 5,512.82/x
  3. Step 3: Cross multiply
    7,960.84x = 11,947.48 × 5,512.82
  4. Step 4: Simplify right side
    7,960.84x = 65,864,306.69
  5. Step 5: Solve for x
    x = 65,864,306.69/7,960.84
  6. Step 6: Final answer
    x = 8,273.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.