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Finding the Fourth Proportional to 11,343.44, 17,016.12 and 4,418

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Solution

The fourth proportional to 11,343.44, 17,016.12 and 4,418 is: 6,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.44 : 17,016.12 = 4,418 : x
  2. Step 2: Convert to fraction form
    11,343.44/17,016.12 = 4,418/x
  3. Step 3: Cross multiply
    11,343.44x = 17,016.12 × 4,418
  4. Step 4: Simplify right side
    11,343.44x = 75,177,218.16
  5. Step 5: Solve for x
    x = 75,177,218.16/11,343.44
  6. Step 6: Final answer
    x = 6,627.37

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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.