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Finding the Fourth Proportional to 7,144.74, 10,718.33 and 2,463.48

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Solution

The fourth proportional to 7,144.74, 10,718.33 and 2,463.48 is: 3,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.74 : 10,718.33 = 2,463.48 : x
  2. Step 2: Convert to fraction form
    7,144.74/10,718.33 = 2,463.48/x
  3. Step 3: Cross multiply
    7,144.74x = 10,718.33 × 2,463.48
  4. Step 4: Simplify right side
    7,144.74x = 26,404,379.27
  5. Step 5: Solve for x
    x = 26,404,379.27/7,144.74
  6. Step 6: Final answer
    x = 3,695.64

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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.