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Finding the Fourth Proportional to 8,249.82, 12,363.66 and 3,857.82

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Solution

The fourth proportional to 8,249.82, 12,363.66 and 3,857.82 is: 5,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.82 : 12,363.66 = 3,857.82 : x
  2. Step 2: Convert to fraction form
    8,249.82/12,363.66 = 3,857.82/x
  3. Step 3: Cross multiply
    8,249.82x = 12,363.66 × 3,857.82
  4. Step 4: Simplify right side
    8,249.82x = 47,696,774.82
  5. Step 5: Solve for x
    x = 47,696,774.82/8,249.82
  6. Step 6: Final answer
    x = 5,781.55

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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.