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Finding the Fourth Proportional to 8,349.82, 12,524.73 and 2,506.43

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Solution

The fourth proportional to 8,349.82, 12,524.73 and 2,506.43 is: 3,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.82 : 12,524.73 = 2,506.43 : x
  2. Step 2: Convert to fraction form
    8,349.82/12,524.73 = 2,506.43/x
  3. Step 3: Cross multiply
    8,349.82x = 12,524.73 × 2,506.43
  4. Step 4: Simplify right side
    8,349.82x = 31,392,380.93
  5. Step 5: Solve for x
    x = 31,392,380.93/8,349.82
  6. Step 6: Final answer
    x = 3,759.65

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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.