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Finding the Fourth Proportional to 7,144.46, 10,723.59 and 3,449.29

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Solution

The fourth proportional to 7,144.46, 10,723.59 and 3,449.29 is: 5,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.46 : 10,723.59 = 3,449.29 : x
  2. Step 2: Convert to fraction form
    7,144.46/10,723.59 = 3,449.29/x
  3. Step 3: Cross multiply
    7,144.46x = 10,723.59 × 3,449.29
  4. Step 4: Simplify right side
    7,144.46x = 36,988,771.75
  5. Step 5: Solve for x
    x = 36,988,771.75/7,144.46
  6. Step 6: Final answer
    x = 5,177.27

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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.