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Finding the Fourth Proportional to 10,696.41, 16,044.17 and 7,187.91

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Solution

The fourth proportional to 10,696.41, 16,044.17 and 7,187.91 is: 10,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.41 : 16,044.17 = 7,187.91 : x
  2. Step 2: Convert to fraction form
    10,696.41/16,044.17 = 7,187.91/x
  3. Step 3: Cross multiply
    10,696.41x = 16,044.17 × 7,187.91
  4. Step 4: Simplify right side
    10,696.41x = 115,324,014.05
  5. Step 5: Solve for x
    x = 115,324,014.05/10,696.41
  6. Step 6: Final answer
    x = 10,781.56

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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.