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Finding the Fourth Proportional to 6,727.96, 10,091.95 and 3,217.15

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Solution

The fourth proportional to 6,727.96, 10,091.95 and 3,217.15 is: 4,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.96 : 10,091.95 = 3,217.15 : x
  2. Step 2: Convert to fraction form
    6,727.96/10,091.95 = 3,217.15/x
  3. Step 3: Cross multiply
    6,727.96x = 10,091.95 × 3,217.15
  4. Step 4: Simplify right side
    6,727.96x = 32,467,266.48
  5. Step 5: Solve for x
    x = 32,467,266.48/6,727.96
  6. Step 6: Final answer
    x = 4,825.72

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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.