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Finding the Fourth Proportional to 8,204.96, 12,308.20 and 3,523.93

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Solution

The fourth proportional to 8,204.96, 12,308.20 and 3,523.93 is: 5,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.96 : 12,308.20 = 3,523.93 : x
  2. Step 2: Convert to fraction form
    8,204.96/12,308.20 = 3,523.93/x
  3. Step 3: Cross multiply
    8,204.96x = 12,308.20 × 3,523.93
  4. Step 4: Simplify right side
    8,204.96x = 43,373,195.65
  5. Step 5: Solve for x
    x = 43,373,195.65/8,204.96
  6. Step 6: Final answer
    x = 5,286.21

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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.