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Finding the Fourth Proportional to 8,136.50, 12,204.75 and 2,514.29

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Solution

The fourth proportional to 8,136.50, 12,204.75 and 2,514.29 is: 3,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.50 : 12,204.75 = 2,514.29 : x
  2. Step 2: Convert to fraction form
    8,136.50/12,204.75 = 2,514.29/x
  3. Step 3: Cross multiply
    8,136.50x = 12,204.75 × 2,514.29
  4. Step 4: Simplify right side
    8,136.50x = 30,686,219.85
  5. Step 5: Solve for x
    x = 30,686,219.85/8,136.50
  6. Step 6: Final answer
    x = 3,771.43

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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.