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Finding the Fourth Proportional to 7,147.39, 10,723.29 and 3,201.97

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Solution

The fourth proportional to 7,147.39, 10,723.29 and 3,201.97 is: 4,803.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.39 : 10,723.29 = 3,201.97 : x
  2. Step 2: Convert to fraction form
    7,147.39/10,723.29 = 3,201.97/x
  3. Step 3: Cross multiply
    7,147.39x = 10,723.29 × 3,201.97
  4. Step 4: Simplify right side
    7,147.39x = 34,335,652.88
  5. Step 5: Solve for x
    x = 34,335,652.88/7,147.39
  6. Step 6: Final answer
    x = 4,803.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.