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Finding the Fourth Proportional to 10,661.68, 15,991.44 and 3,266.20

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Solution

The fourth proportional to 10,661.68, 15,991.44 and 3,266.20 is: 4,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.68 : 15,991.44 = 3,266.20 : x
  2. Step 2: Convert to fraction form
    10,661.68/15,991.44 = 3,266.20/x
  3. Step 3: Cross multiply
    10,661.68x = 15,991.44 × 3,266.20
  4. Step 4: Simplify right side
    10,661.68x = 52,231,241.33
  5. Step 5: Solve for x
    x = 52,231,241.33/10,661.68
  6. Step 6: Final answer
    x = 4,898.97

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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.