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Finding the Fourth Proportional to 8,365.86, 12,546.62 and 3,974.58

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Solution

The fourth proportional to 8,365.86, 12,546.62 and 3,974.58 is: 5,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.86 : 12,546.62 = 3,974.58 : x
  2. Step 2: Convert to fraction form
    8,365.86/12,546.62 = 3,974.58/x
  3. Step 3: Cross multiply
    8,365.86x = 12,546.62 × 3,974.58
  4. Step 4: Simplify right side
    8,365.86x = 49,867,544.92
  5. Step 5: Solve for x
    x = 49,867,544.92/8,365.86
  6. Step 6: Final answer
    x = 5,960.84

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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.