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Finding the Fourth Proportional to 10,763.50, 16,144.65 and 3,367.09

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Solution

The fourth proportional to 10,763.50, 16,144.65 and 3,367.09 is: 5,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.50 : 16,144.65 = 3,367.09 : x
  2. Step 2: Convert to fraction form
    10,763.50/16,144.65 = 3,367.09/x
  3. Step 3: Cross multiply
    10,763.50x = 16,144.65 × 3,367.09
  4. Step 4: Simplify right side
    10,763.50x = 54,360,489.57
  5. Step 5: Solve for x
    x = 54,360,489.57/10,763.50
  6. Step 6: Final answer
    x = 5,050.45

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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.