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Finding the Fourth Proportional to 7,937.28, 11,897.28 and 5,976

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Solution

The fourth proportional to 7,937.28, 11,897.28 and 5,976 is: 8,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.28 : 11,897.28 = 5,976 : x
  2. Step 2: Convert to fraction form
    7,937.28/11,897.28 = 5,976/x
  3. Step 3: Cross multiply
    7,937.28x = 11,897.28 × 5,976
  4. Step 4: Simplify right side
    7,937.28x = 71,098,145.28
  5. Step 5: Solve for x
    x = 71,098,145.28/7,937.28
  6. Step 6: Final answer
    x = 8,957.49

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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.