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Finding the Fourth Proportional to 7,144.47, 10,718.43 and 2,982.17

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Solution

The fourth proportional to 7,144.47, 10,718.43 and 2,982.17 is: 4,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.47 : 10,718.43 = 2,982.17 : x
  2. Step 2: Convert to fraction form
    7,144.47/10,718.43 = 2,982.17/x
  3. Step 3: Cross multiply
    7,144.47x = 10,718.43 × 2,982.17
  4. Step 4: Simplify right side
    7,144.47x = 31,964,126.80
  5. Step 5: Solve for x
    x = 31,964,126.80/7,144.47
  6. Step 6: Final answer
    x = 4,473.97

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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.