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Finding the Fourth Proportional to 11,696.67, 17,553.38 and 4,672.62

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Solution

The fourth proportional to 11,696.67, 17,553.38 and 4,672.62 is: 7,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.67 : 17,553.38 = 4,672.62 : x
  2. Step 2: Convert to fraction form
    11,696.67/17,553.38 = 4,672.62/x
  3. Step 3: Cross multiply
    11,696.67x = 17,553.38 × 4,672.62
  4. Step 4: Simplify right side
    11,696.67x = 82,020,251.09
  5. Step 5: Solve for x
    x = 82,020,251.09/11,696.67
  6. Step 6: Final answer
    x = 7,012.27

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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.