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Finding the Fourth Proportional to 7,771.14, 10,724.38 and 4,234.57

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Solution

The fourth proportional to 7,771.14, 10,724.38 and 4,234.57 is: 5,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.14 : 10,724.38 = 4,234.57 : x
  2. Step 2: Convert to fraction form
    7,771.14/10,724.38 = 4,234.57/x
  3. Step 3: Cross multiply
    7,771.14x = 10,724.38 × 4,234.57
  4. Step 4: Simplify right side
    7,771.14x = 45,413,100.42
  5. Step 5: Solve for x
    x = 45,413,100.42/7,771.14
  6. Step 6: Final answer
    x = 5,843.81

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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.