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Finding the Fourth Proportional to 7,997.52, 11,018.88 and 5,972.16

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Solution

The fourth proportional to 7,997.52, 11,018.88 and 5,972.16 is: 8,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.52 : 11,018.88 = 5,972.16 : x
  2. Step 2: Convert to fraction form
    7,997.52/11,018.88 = 5,972.16/x
  3. Step 3: Cross multiply
    7,997.52x = 11,018.88 × 5,972.16
  4. Step 4: Simplify right side
    7,997.52x = 65,806,514.38
  5. Step 5: Solve for x
    x = 65,806,514.38/7,997.52
  6. Step 6: Final answer
    x = 8,228.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.