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Finding the Fourth Proportional to 8,249.84, 12,378.86 and 3,867.64

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Solution

The fourth proportional to 8,249.84, 12,378.86 and 3,867.64 is: 5,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.84 : 12,378.86 = 3,867.64 : x
  2. Step 2: Convert to fraction form
    8,249.84/12,378.86 = 3,867.64/x
  3. Step 3: Cross multiply
    8,249.84x = 12,378.86 × 3,867.64
  4. Step 4: Simplify right side
    8,249.84x = 47,876,974.09
  5. Step 5: Solve for x
    x = 47,876,974.09/8,249.84
  6. Step 6: Final answer
    x = 5,803.38

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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.