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Finding the Fourth Proportional to 10,767, 16,144.20 and 4,103.88

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Solution

The fourth proportional to 10,767, 16,144.20 and 4,103.88 is: 6,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767 : 16,144.20 = 4,103.88 : x
  2. Step 2: Convert to fraction form
    10,767/16,144.20 = 4,103.88/x
  3. Step 3: Cross multiply
    10,767x = 16,144.20 × 4,103.88
  4. Step 4: Simplify right side
    10,767x = 66,253,859.50
  5. Step 5: Solve for x
    x = 66,253,859.50/10,767
  6. Step 6: Final answer
    x = 6,153.42

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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.