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Finding the Fourth Proportional to 8,071.14, 12,104.82 and 2,228.22

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Solution

The fourth proportional to 8,071.14, 12,104.82 and 2,228.22 is: 3,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.14 : 12,104.82 = 2,228.22 : x
  2. Step 2: Convert to fraction form
    8,071.14/12,104.82 = 2,228.22/x
  3. Step 3: Cross multiply
    8,071.14x = 12,104.82 × 2,228.22
  4. Step 4: Simplify right side
    8,071.14x = 26,972,202.02
  5. Step 5: Solve for x
    x = 26,972,202.02/8,071.14
  6. Step 6: Final answer
    x = 3,341.81

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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.