Home / 10,824.80-16,224.14-5,269.82

Finding the Fourth Proportional to 10,824.80, 16,224.14 and 5,269.82

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Solution

The fourth proportional to 10,824.80, 16,224.14 and 5,269.82 is: 7,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.80 : 16,224.14 = 5,269.82 : x
  2. Step 2: Convert to fraction form
    10,824.80/16,224.14 = 5,269.82/x
  3. Step 3: Cross multiply
    10,824.80x = 16,224.14 × 5,269.82
  4. Step 4: Simplify right side
    10,824.80x = 85,498,351.19
  5. Step 5: Solve for x
    x = 85,498,351.19/10,824.80
  6. Step 6: Final answer
    x = 7,898.38

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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.