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Finding the Fourth Proportional to 8,206.74, 12,305.16 and 3,825.18

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Solution

The fourth proportional to 8,206.74, 12,305.16 and 3,825.18 is: 5,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.74 : 12,305.16 = 3,825.18 : x
  2. Step 2: Convert to fraction form
    8,206.74/12,305.16 = 3,825.18/x
  3. Step 3: Cross multiply
    8,206.74x = 12,305.16 × 3,825.18
  4. Step 4: Simplify right side
    8,206.74x = 47,069,451.93
  5. Step 5: Solve for x
    x = 47,069,451.93/8,206.74
  6. Step 6: Final answer
    x = 5,735.46

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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.