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Finding the Fourth Proportional to 6,796.96, 10,198.56 and 4,029.12

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Solution

The fourth proportional to 6,796.96, 10,198.56 and 4,029.12 is: 6,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.96 : 10,198.56 = 4,029.12 : x
  2. Step 2: Convert to fraction form
    6,796.96/10,198.56 = 4,029.12/x
  3. Step 3: Cross multiply
    6,796.96x = 10,198.56 × 4,029.12
  4. Step 4: Simplify right side
    6,796.96x = 41,091,222.07
  5. Step 5: Solve for x
    x = 41,091,222.07/6,796.96
  6. Step 6: Final answer
    x = 6,045.53

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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.