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Finding the Fourth Proportional to 10,769.43, 16,151.03 and 4,194.15

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Solution

The fourth proportional to 10,769.43, 16,151.03 and 4,194.15 is: 6,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.43 : 16,151.03 = 4,194.15 : x
  2. Step 2: Convert to fraction form
    10,769.43/16,151.03 = 4,194.15/x
  3. Step 3: Cross multiply
    10,769.43x = 16,151.03 × 4,194.15
  4. Step 4: Simplify right side
    10,769.43x = 67,739,821.50
  5. Step 5: Solve for x
    x = 67,739,821.50/10,769.43
  6. Step 6: Final answer
    x = 6,290.01

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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.