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Finding the Fourth Proportional to 11,713.14, 17,568.03 and 3,922.02

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Solution

The fourth proportional to 11,713.14, 17,568.03 and 3,922.02 is: 5,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.14 : 17,568.03 = 3,922.02 : x
  2. Step 2: Convert to fraction form
    11,713.14/17,568.03 = 3,922.02/x
  3. Step 3: Cross multiply
    11,713.14x = 17,568.03 × 3,922.02
  4. Step 4: Simplify right side
    11,713.14x = 68,902,165.02
  5. Step 5: Solve for x
    x = 68,902,165.02/11,713.14
  6. Step 6: Final answer
    x = 5,882.47

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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.