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Finding the Fourth Proportional to 7,771.22, 10,724.29 and 4,234.43

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Solution

The fourth proportional to 7,771.22, 10,724.29 and 4,234.43 is: 5,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.22 : 10,724.29 = 4,234.43 : x
  2. Step 2: Convert to fraction form
    7,771.22/10,724.29 = 4,234.43/x
  3. Step 3: Cross multiply
    7,771.22x = 10,724.29 × 4,234.43
  4. Step 4: Simplify right side
    7,771.22x = 45,411,255.30
  5. Step 5: Solve for x
    x = 45,411,255.30/7,771.22
  6. Step 6: Final answer
    x = 5,843.52

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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.