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Finding the Fourth Proportional to 8,249.40, 12,378.06 and 3,867.12

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Solution

The fourth proportional to 8,249.40, 12,378.06 and 3,867.12 is: 5,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.40 : 12,378.06 = 3,867.12 : x
  2. Step 2: Convert to fraction form
    8,249.40/12,378.06 = 3,867.12/x
  3. Step 3: Cross multiply
    8,249.40x = 12,378.06 × 3,867.12
  4. Step 4: Simplify right side
    8,249.40x = 47,867,443.39
  5. Step 5: Solve for x
    x = 47,867,443.39/8,249.40
  6. Step 6: Final answer
    x = 5,802.54

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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.