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Finding the Fourth Proportional to 11,633.97, 17,444.34 and 7,940.68

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Solution

The fourth proportional to 11,633.97, 17,444.34 and 7,940.68 is: 11,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.97 : 17,444.34 = 7,940.68 : x
  2. Step 2: Convert to fraction form
    11,633.97/17,444.34 = 7,940.68/x
  3. Step 3: Cross multiply
    11,633.97x = 17,444.34 × 7,940.68
  4. Step 4: Simplify right side
    11,633.97x = 138,519,794.83
  5. Step 5: Solve for x
    x = 138,519,794.83/11,633.97
  6. Step 6: Final answer
    x = 11,906.49

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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.