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Finding the Fourth Proportional to 7,771.22, 10,724.36 and 4,234.49

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Solution

The fourth proportional to 7,771.22, 10,724.36 and 4,234.49 is: 5,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.22 : 10,724.36 = 4,234.49 : x
  2. Step 2: Convert to fraction form
    7,771.22/10,724.36 = 4,234.49/x
  3. Step 3: Cross multiply
    7,771.22x = 10,724.36 × 4,234.49
  4. Step 4: Simplify right side
    7,771.22x = 45,412,120.38
  5. Step 5: Solve for x
    x = 45,412,120.38/7,771.22
  6. Step 6: Final answer
    x = 5,843.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.