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Finding the Fourth Proportional to 11,751.26, 17,600.97 and 7,837.34

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Solution

The fourth proportional to 11,751.26, 17,600.97 and 7,837.34 is: 11,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.26 : 17,600.97 = 7,837.34 : x
  2. Step 2: Convert to fraction form
    11,751.26/17,600.97 = 7,837.34/x
  3. Step 3: Cross multiply
    11,751.26x = 17,600.97 × 7,837.34
  4. Step 4: Simplify right side
    11,751.26x = 137,944,786.22
  5. Step 5: Solve for x
    x = 137,944,786.22/11,751.26
  6. Step 6: Final answer
    x = 11,738.72

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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.