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Finding the Fourth Proportional to 7,771.42, 10,724.56 and 4,234.63

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Solution

The fourth proportional to 7,771.42, 10,724.56 and 4,234.63 is: 5,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.42 : 10,724.56 = 4,234.63 : x
  2. Step 2: Convert to fraction form
    7,771.42/10,724.56 = 4,234.63/x
  3. Step 3: Cross multiply
    7,771.42x = 10,724.56 × 4,234.63
  4. Step 4: Simplify right side
    7,771.42x = 45,414,468.72
  5. Step 5: Solve for x
    x = 45,414,468.72/7,771.42
  6. Step 6: Final answer
    x = 5,843.78

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