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Finding the Fourth Proportional to 7,144.49, 10,718.15 and 3,449.27

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Solution

The fourth proportional to 7,144.49, 10,718.15 and 3,449.27 is: 5,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.49 : 10,718.15 = 3,449.27 : x
  2. Step 2: Convert to fraction form
    7,144.49/10,718.15 = 3,449.27/x
  3. Step 3: Cross multiply
    7,144.49x = 10,718.15 × 3,449.27
  4. Step 4: Simplify right side
    7,144.49x = 36,969,722.41
  5. Step 5: Solve for x
    x = 36,969,722.41/7,144.49
  6. Step 6: Final answer
    x = 5,174.58

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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.