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Finding the Fourth Proportional to 7,198.75, 10,782.46 and 3,493.16

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Solution

The fourth proportional to 7,198.75, 10,782.46 and 3,493.16 is: 5,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.75 : 10,782.46 = 3,493.16 : x
  2. Step 2: Convert to fraction form
    7,198.75/10,782.46 = 3,493.16/x
  3. Step 3: Cross multiply
    7,198.75x = 10,782.46 × 3,493.16
  4. Step 4: Simplify right side
    7,198.75x = 37,664,857.97
  5. Step 5: Solve for x
    x = 37,664,857.97/7,198.75
  6. Step 6: Final answer
    x = 5,232.14

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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.