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Finding the Fourth Proportional to 10,919.92, 16,380.30 and 3,524.50

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Solution

The fourth proportional to 10,919.92, 16,380.30 and 3,524.50 is: 5,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.92 : 16,380.30 = 3,524.50 : x
  2. Step 2: Convert to fraction form
    10,919.92/16,380.30 = 3,524.50/x
  3. Step 3: Cross multiply
    10,919.92x = 16,380.30 × 3,524.50
  4. Step 4: Simplify right side
    10,919.92x = 57,732,367.35
  5. Step 5: Solve for x
    x = 57,732,367.35/10,919.92
  6. Step 6: Final answer
    x = 5,286.89

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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.