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Finding the Fourth Proportional to 10,209.50, 15,311.00 and 3,282.38

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Solution

The fourth proportional to 10,209.50, 15,311.00 and 3,282.38 is: 4,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.50 : 15,311.00 = 3,282.38 : x
  2. Step 2: Convert to fraction form
    10,209.50/15,311.00 = 3,282.38/x
  3. Step 3: Cross multiply
    10,209.50x = 15,311.00 × 3,282.38
  4. Step 4: Simplify right side
    10,209.50x = 50,256,451.83
  5. Step 5: Solve for x
    x = 50,256,451.83/10,209.50
  6. Step 6: Final answer
    x = 4,922.52

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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.