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Finding the Fourth Proportional to 7,144.90, 10,716.13 and 1,949.56

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Solution

The fourth proportional to 7,144.90, 10,716.13 and 1,949.56 is: 2,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.90 : 10,716.13 = 1,949.56 : x
  2. Step 2: Convert to fraction form
    7,144.90/10,716.13 = 1,949.56/x
  3. Step 3: Cross multiply
    7,144.90x = 10,716.13 × 1,949.56
  4. Step 4: Simplify right side
    7,144.90x = 20,891,738.40
  5. Step 5: Solve for x
    x = 20,891,738.40/7,144.90
  6. Step 6: Final answer
    x = 2,924.01

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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.