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Finding the Fourth Proportional to 7,174.25, 10,760.97 and 2,243.31

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Solution

The fourth proportional to 7,174.25, 10,760.97 and 2,243.31 is: 3,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.25 : 10,760.97 = 2,243.31 : x
  2. Step 2: Convert to fraction form
    7,174.25/10,760.97 = 2,243.31/x
  3. Step 3: Cross multiply
    7,174.25x = 10,760.97 × 2,243.31
  4. Step 4: Simplify right side
    7,174.25x = 24,140,200.02
  5. Step 5: Solve for x
    x = 24,140,200.02/7,174.25
  6. Step 6: Final answer
    x = 3,364.84

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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.