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Finding the Fourth Proportional to 8,106.92, 12,162.41 and 2,263.53

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Solution

The fourth proportional to 8,106.92, 12,162.41 and 2,263.53 is: 3,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.92 : 12,162.41 = 2,263.53 : x
  2. Step 2: Convert to fraction form
    8,106.92/12,162.41 = 2,263.53/x
  3. Step 3: Cross multiply
    8,106.92x = 12,162.41 × 2,263.53
  4. Step 4: Simplify right side
    8,106.92x = 27,529,979.91
  5. Step 5: Solve for x
    x = 27,529,979.91/8,106.92
  6. Step 6: Final answer
    x = 3,395.86

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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.