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Finding the Fourth Proportional to 7,144.34, 10,717.22 and 2,463.73

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Solution

The fourth proportional to 7,144.34, 10,717.22 and 2,463.73 is: 3,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.34 : 10,717.22 = 2,463.73 : x
  2. Step 2: Convert to fraction form
    7,144.34/10,717.22 = 2,463.73/x
  3. Step 3: Cross multiply
    7,144.34x = 10,717.22 × 2,463.73
  4. Step 4: Simplify right side
    7,144.34x = 26,404,315.80
  5. Step 5: Solve for x
    x = 26,404,315.80/7,144.34
  6. Step 6: Final answer
    x = 3,695.84

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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.