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Finding the Fourth Proportional to 6,896.82, 10,341.44 and 3,197.01

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Solution

The fourth proportional to 6,896.82, 10,341.44 and 3,197.01 is: 4,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.82 : 10,341.44 = 3,197.01 : x
  2. Step 2: Convert to fraction form
    6,896.82/10,341.44 = 3,197.01/x
  3. Step 3: Cross multiply
    6,896.82x = 10,341.44 × 3,197.01
  4. Step 4: Simplify right side
    6,896.82x = 33,061,671.11
  5. Step 5: Solve for x
    x = 33,061,671.11/6,896.82
  6. Step 6: Final answer
    x = 4,793.76

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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.