Home / 10,754.36-16,121.82-3,824

Finding the Fourth Proportional to 10,754.36, 16,121.82 and 3,824

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Solution

The fourth proportional to 10,754.36, 16,121.82 and 3,824 is: 5,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.36 : 16,121.82 = 3,824 : x
  2. Step 2: Convert to fraction form
    10,754.36/16,121.82 = 3,824/x
  3. Step 3: Cross multiply
    10,754.36x = 16,121.82 × 3,824
  4. Step 4: Simplify right side
    10,754.36x = 61,649,839.68
  5. Step 5: Solve for x
    x = 61,649,839.68/10,754.36
  6. Step 6: Final answer
    x = 5,732.54

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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.