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Finding the Fourth Proportional to 11,696.35, 16,121.61 and 8,711.09

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Solution

The fourth proportional to 11,696.35, 16,121.61 and 8,711.09 is: 12,006.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.35 : 16,121.61 = 8,711.09 : x
  2. Step 2: Convert to fraction form
    11,696.35/16,121.61 = 8,711.09/x
  3. Step 3: Cross multiply
    11,696.35x = 16,121.61 × 8,711.09
  4. Step 4: Simplify right side
    11,696.35x = 140,436,841.69
  5. Step 5: Solve for x
    x = 140,436,841.69/11,696.35
  6. Step 6: Final answer
    x = 12,006.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.