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Finding the Fourth Proportional to 7,768.08, 10,720.20 and 4,231.44

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Solution

The fourth proportional to 7,768.08, 10,720.20 and 4,231.44 is: 5,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.08 : 10,720.20 = 4,231.44 : x
  2. Step 2: Convert to fraction form
    7,768.08/10,720.20 = 4,231.44/x
  3. Step 3: Cross multiply
    7,768.08x = 10,720.20 × 4,231.44
  4. Step 4: Simplify right side
    7,768.08x = 45,361,883.09
  5. Step 5: Solve for x
    x = 45,361,883.09/7,768.08
  6. Step 6: Final answer
    x = 5,839.52

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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.