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Finding the Fourth Proportional to 8,111.46, 12,162.28 and 3,947.28

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Solution

The fourth proportional to 8,111.46, 12,162.28 and 3,947.28 is: 5,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.46 : 12,162.28 = 3,947.28 : x
  2. Step 2: Convert to fraction form
    8,111.46/12,162.28 = 3,947.28/x
  3. Step 3: Cross multiply
    8,111.46x = 12,162.28 × 3,947.28
  4. Step 4: Simplify right side
    8,111.46x = 48,007,924.60
  5. Step 5: Solve for x
    x = 48,007,924.60/8,111.46
  6. Step 6: Final answer
    x = 5,918.53

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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.