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Finding the Fourth Proportional to 11,793.26, 17,696.80 and 4,402.82

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Solution

The fourth proportional to 11,793.26, 17,696.80 and 4,402.82 is: 6,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.26 : 17,696.80 = 4,402.82 : x
  2. Step 2: Convert to fraction form
    11,793.26/17,696.80 = 4,402.82/x
  3. Step 3: Cross multiply
    11,793.26x = 17,696.80 × 4,402.82
  4. Step 4: Simplify right side
    11,793.26x = 77,915,824.98
  5. Step 5: Solve for x
    x = 77,915,824.98/11,793.26
  6. Step 6: Final answer
    x = 6,606.81

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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.