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Finding the Fourth Proportional to 10,561.92, 15,843.06 and 3,991.20

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Solution

The fourth proportional to 10,561.92, 15,843.06 and 3,991.20 is: 5,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.92 : 15,843.06 = 3,991.20 : x
  2. Step 2: Convert to fraction form
    10,561.92/15,843.06 = 3,991.20/x
  3. Step 3: Cross multiply
    10,561.92x = 15,843.06 × 3,991.20
  4. Step 4: Simplify right side
    10,561.92x = 63,232,821.07
  5. Step 5: Solve for x
    x = 63,232,821.07/10,561.92
  6. Step 6: Final answer
    x = 5,986.87

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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.