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Finding the Fourth Proportional to 11,817.09, 17,691.07 and 7,168.77

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Solution

The fourth proportional to 11,817.09, 17,691.07 and 7,168.77 is: 10,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.09 : 17,691.07 = 7,168.77 : x
  2. Step 2: Convert to fraction form
    11,817.09/17,691.07 = 7,168.77/x
  3. Step 3: Cross multiply
    11,817.09x = 17,691.07 × 7,168.77
  4. Step 4: Simplify right side
    11,817.09x = 126,823,211.88
  5. Step 5: Solve for x
    x = 126,823,211.88/11,817.09
  6. Step 6: Final answer
    x = 10,732.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.