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Finding the Fourth Proportional to 6,781.71, 10,165.61 and 3,266.55

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Solution

The fourth proportional to 6,781.71, 10,165.61 and 3,266.55 is: 4,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.71 : 10,165.61 = 3,266.55 : x
  2. Step 2: Convert to fraction form
    6,781.71/10,165.61 = 3,266.55/x
  3. Step 3: Cross multiply
    6,781.71x = 10,165.61 × 3,266.55
  4. Step 4: Simplify right side
    6,781.71x = 33,206,457.01
  5. Step 5: Solve for x
    x = 33,206,457.01/6,781.71
  6. Step 6: Final answer
    x = 4,896.47

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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.