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Finding the Fourth Proportional to 11,696.47, 16,144.97 and 9,310.82

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Solution

The fourth proportional to 11,696.47, 16,144.97 and 9,310.82 is: 12,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.47 : 16,144.97 = 9,310.82 : x
  2. Step 2: Convert to fraction form
    11,696.47/16,144.97 = 9,310.82/x
  3. Step 3: Cross multiply
    11,696.47x = 16,144.97 × 9,310.82
  4. Step 4: Simplify right side
    11,696.47x = 150,322,834.67
  5. Step 5: Solve for x
    x = 150,322,834.67/11,696.47
  6. Step 6: Final answer
    x = 12,851.99

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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.