Home / 7,144.20-10,711-3,442.96

Finding the Fourth Proportional to 7,144.20, 10,711 and 3,442.96

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Solution

The fourth proportional to 7,144.20, 10,711 and 3,442.96 is: 5,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.20 : 10,711 = 3,442.96 : x
  2. Step 2: Convert to fraction form
    7,144.20/10,711 = 3,442.96/x
  3. Step 3: Cross multiply
    7,144.20x = 10,711 × 3,442.96
  4. Step 4: Simplify right side
    7,144.20x = 36,877,544.56
  5. Step 5: Solve for x
    x = 36,877,544.56/7,144.20
  6. Step 6: Final answer
    x = 5,161.89

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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.