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Finding the Fourth Proportional to 6,805.72, 10,205.20 and 3,995.22

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Solution

The fourth proportional to 6,805.72, 10,205.20 and 3,995.22 is: 5,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.72 : 10,205.20 = 3,995.22 : x
  2. Step 2: Convert to fraction form
    6,805.72/10,205.20 = 3,995.22/x
  3. Step 3: Cross multiply
    6,805.72x = 10,205.20 × 3,995.22
  4. Step 4: Simplify right side
    6,805.72x = 40,772,024.14
  5. Step 5: Solve for x
    x = 40,772,024.14/6,805.72
  6. Step 6: Final answer
    x = 5,990.85

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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.