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Finding the Fourth Proportional to 8,362.94, 12,546.34 and 2,816.14

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Solution

The fourth proportional to 8,362.94, 12,546.34 and 2,816.14 is: 4,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.94 : 12,546.34 = 2,816.14 : x
  2. Step 2: Convert to fraction form
    8,362.94/12,546.34 = 2,816.14/x
  3. Step 3: Cross multiply
    8,362.94x = 12,546.34 × 2,816.14
  4. Step 4: Simplify right side
    8,362.94x = 35,332,249.93
  5. Step 5: Solve for x
    x = 35,332,249.93/8,362.94
  6. Step 6: Final answer
    x = 4,224.86

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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.