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Finding the Fourth Proportional to 8,188.92, 12,282.78 and 2,923.33

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Solution

The fourth proportional to 8,188.92, 12,282.78 and 2,923.33 is: 4,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.92 : 12,282.78 = 2,923.33 : x
  2. Step 2: Convert to fraction form
    8,188.92/12,282.78 = 2,923.33/x
  3. Step 3: Cross multiply
    8,188.92x = 12,282.78 × 2,923.33
  4. Step 4: Simplify right side
    8,188.92x = 35,906,619.26
  5. Step 5: Solve for x
    x = 35,906,619.26/8,188.92
  6. Step 6: Final answer
    x = 4,384.78

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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.