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Finding the Fourth Proportional to 7,996, 11,995.92 and 2,524

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Solution

The fourth proportional to 7,996, 11,995.92 and 2,524 is: 3,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996 : 11,995.92 = 2,524 : x
  2. Step 2: Convert to fraction form
    7,996/11,995.92 = 2,524/x
  3. Step 3: Cross multiply
    7,996x = 11,995.92 × 2,524
  4. Step 4: Simplify right side
    7,996x = 30,277,702.08
  5. Step 5: Solve for x
    x = 30,277,702.08/7,996
  6. Step 6: Final answer
    x = 3,786.61

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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.