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Finding the Fourth Proportional to 11,738.57, 17,610.92 and 3,418.40

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Solution

The fourth proportional to 11,738.57, 17,610.92 and 3,418.40 is: 5,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.57 : 17,610.92 = 3,418.40 : x
  2. Step 2: Convert to fraction form
    11,738.57/17,610.92 = 3,418.40/x
  3. Step 3: Cross multiply
    11,738.57x = 17,610.92 × 3,418.40
  4. Step 4: Simplify right side
    11,738.57x = 60,201,208.68
  5. Step 5: Solve for x
    x = 60,201,208.68/11,738.57
  6. Step 6: Final answer
    x = 5,128.50

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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.