Home / 10,822.75-16,234.20-3,802.75

Finding the Fourth Proportional to 10,822.75, 16,234.20 and 3,802.75

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Solution

The fourth proportional to 10,822.75, 16,234.20 and 3,802.75 is: 5,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.75 : 16,234.20 = 3,802.75 : x
  2. Step 2: Convert to fraction form
    10,822.75/16,234.20 = 3,802.75/x
  3. Step 3: Cross multiply
    10,822.75x = 16,234.20 × 3,802.75
  4. Step 4: Simplify right side
    10,822.75x = 61,734,604.05
  5. Step 5: Solve for x
    x = 61,734,604.05/10,822.75
  6. Step 6: Final answer
    x = 5,704.15

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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.