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Finding the Fourth Proportional to 6,832.82, 10,244.37 and 3,270.86

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Solution

The fourth proportional to 6,832.82, 10,244.37 and 3,270.86 is: 4,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.82 : 10,244.37 = 3,270.86 : x
  2. Step 2: Convert to fraction form
    6,832.82/10,244.37 = 3,270.86/x
  3. Step 3: Cross multiply
    6,832.82x = 10,244.37 × 3,270.86
  4. Step 4: Simplify right side
    6,832.82x = 33,507,900.06
  5. Step 5: Solve for x
    x = 33,507,900.06/6,832.82
  6. Step 6: Final answer
    x = 4,903.96

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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.