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Finding the Fourth Proportional to 10,209.65, 15,311.24 and 3,282.53

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Solution

The fourth proportional to 10,209.65, 15,311.24 and 3,282.53 is: 4,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.65 : 15,311.24 = 3,282.53 : x
  2. Step 2: Convert to fraction form
    10,209.65/15,311.24 = 3,282.53/x
  3. Step 3: Cross multiply
    10,209.65x = 15,311.24 × 3,282.53
  4. Step 4: Simplify right side
    10,209.65x = 50,259,626.50
  5. Step 5: Solve for x
    x = 50,259,626.50/10,209.65
  6. Step 6: Final answer
    x = 4,922.76

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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.