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Finding the Fourth Proportional to 7,923.72, 11,892.78 and 4,229.10

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Solution

The fourth proportional to 7,923.72, 11,892.78 and 4,229.10 is: 6,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.72 : 11,892.78 = 4,229.10 : x
  2. Step 2: Convert to fraction form
    7,923.72/11,892.78 = 4,229.10/x
  3. Step 3: Cross multiply
    7,923.72x = 11,892.78 × 4,229.10
  4. Step 4: Simplify right side
    7,923.72x = 50,295,755.90
  5. Step 5: Solve for x
    x = 50,295,755.90/7,923.72
  6. Step 6: Final answer
    x = 6,347.49

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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.