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Finding the Fourth Proportional to 6,796.49, 10,192.00 and 2,114.95

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Solution

The fourth proportional to 6,796.49, 10,192.00 and 2,114.95 is: 3,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.49 : 10,192.00 = 2,114.95 : x
  2. Step 2: Convert to fraction form
    6,796.49/10,192.00 = 2,114.95/x
  3. Step 3: Cross multiply
    6,796.49x = 10,192.00 × 2,114.95
  4. Step 4: Simplify right side
    6,796.49x = 21,555,508.87
  5. Step 5: Solve for x
    x = 21,555,508.87/6,796.49
  6. Step 6: Final answer
    x = 3,171.56

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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.