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Finding the Fourth Proportional to 11,882.97, 17,822.18 and 3,562.99

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Solution

The fourth proportional to 11,882.97, 17,822.18 and 3,562.99 is: 5,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.97 : 17,822.18 = 3,562.99 : x
  2. Step 2: Convert to fraction form
    11,882.97/17,822.18 = 3,562.99/x
  3. Step 3: Cross multiply
    11,882.97x = 17,822.18 × 3,562.99
  4. Step 4: Simplify right side
    11,882.97x = 63,500,213.47
  5. Step 5: Solve for x
    x = 63,500,213.47/11,882.97
  6. Step 6: Final answer
    x = 5,343.80

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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.