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Finding the Fourth Proportional to 8,049.92, 12,075.42 and 2,206.04

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Solution

The fourth proportional to 8,049.92, 12,075.42 and 2,206.04 is: 3,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.92 : 12,075.42 = 2,206.04 : x
  2. Step 2: Convert to fraction form
    8,049.92/12,075.42 = 2,206.04/x
  3. Step 3: Cross multiply
    8,049.92x = 12,075.42 × 2,206.04
  4. Step 4: Simplify right side
    8,049.92x = 26,638,859.54
  5. Step 5: Solve for x
    x = 26,638,859.54/8,049.92
  6. Step 6: Final answer
    x = 3,309.21

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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.