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Finding the Fourth Proportional to 7,198.45, 10,796.49 and 5,112.14

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Solution

The fourth proportional to 7,198.45, 10,796.49 and 5,112.14 is: 7,667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.45 : 10,796.49 = 5,112.14 : x
  2. Step 2: Convert to fraction form
    7,198.45/10,796.49 = 5,112.14/x
  3. Step 3: Cross multiply
    7,198.45x = 10,796.49 × 5,112.14
  4. Step 4: Simplify right side
    7,198.45x = 55,193,114.41
  5. Step 5: Solve for x
    x = 55,193,114.41/7,198.45
  6. Step 6: Final answer
    x = 7,667.36

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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.