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Finding the Fourth Proportional to 8,168.24, 11,270.20 and 5,183

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Solution

The fourth proportional to 8,168.24, 11,270.20 and 5,183 is: 7,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.24 : 11,270.20 = 5,183 : x
  2. Step 2: Convert to fraction form
    8,168.24/11,270.20 = 5,183/x
  3. Step 3: Cross multiply
    8,168.24x = 11,270.20 × 5,183
  4. Step 4: Simplify right side
    8,168.24x = 58,413,446.60
  5. Step 5: Solve for x
    x = 58,413,446.60/8,168.24
  6. Step 6: Final answer
    x = 7,151.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.