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Finding the Fourth Proportional to 6,763.50, 10,136.34 and 2,863.08

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Solution

The fourth proportional to 6,763.50, 10,136.34 and 2,863.08 is: 4,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.50 : 10,136.34 = 2,863.08 : x
  2. Step 2: Convert to fraction form
    6,763.50/10,136.34 = 2,863.08/x
  3. Step 3: Cross multiply
    6,763.50x = 10,136.34 × 2,863.08
  4. Step 4: Simplify right side
    6,763.50x = 29,021,152.33
  5. Step 5: Solve for x
    x = 29,021,152.33/6,763.50
  6. Step 6: Final answer
    x = 4,290.85

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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.