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Finding the Fourth Proportional to 8,071.72, 12,108.28 and 2,228.33

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Solution

The fourth proportional to 8,071.72, 12,108.28 and 2,228.33 is: 3,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.72 : 12,108.28 = 2,228.33 : x
  2. Step 2: Convert to fraction form
    8,071.72/12,108.28 = 2,228.33/x
  3. Step 3: Cross multiply
    8,071.72x = 12,108.28 × 2,228.33
  4. Step 4: Simplify right side
    8,071.72x = 26,981,243.57
  5. Step 5: Solve for x
    x = 26,981,243.57/8,071.72
  6. Step 6: Final answer
    x = 3,342.69

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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.