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Finding the Fourth Proportional to 7,144.20, 10,718 and 2,981.90

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Solution

The fourth proportional to 7,144.20, 10,718 and 2,981.90 is: 4,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.20 : 10,718 = 2,981.90 : x
  2. Step 2: Convert to fraction form
    7,144.20/10,718 = 2,981.90/x
  3. Step 3: Cross multiply
    7,144.20x = 10,718 × 2,981.90
  4. Step 4: Simplify right side
    7,144.20x = 31,960,004.20
  5. Step 5: Solve for x
    x = 31,960,004.20/7,144.20
  6. Step 6: Final answer
    x = 4,473.56

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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.