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Finding the Fourth Proportional to 7,144.80, 10,715.52 and 1,949.44

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Solution

The fourth proportional to 7,144.80, 10,715.52 and 1,949.44 is: 2,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.80 : 10,715.52 = 1,949.44 : x
  2. Step 2: Convert to fraction form
    7,144.80/10,715.52 = 1,949.44/x
  3. Step 3: Cross multiply
    7,144.80x = 10,715.52 × 1,949.44
  4. Step 4: Simplify right side
    7,144.80x = 20,889,263.31
  5. Step 5: Solve for x
    x = 20,889,263.31/7,144.80
  6. Step 6: Final answer
    x = 2,923.70

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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.