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Finding the Fourth Proportional to 11,090.38, 16,640.13 and 8,143.87

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Solution

The fourth proportional to 11,090.38, 16,640.13 and 8,143.87 is: 12,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090.38 : 16,640.13 = 8,143.87 : x
  2. Step 2: Convert to fraction form
    11,090.38/16,640.13 = 8,143.87/x
  3. Step 3: Cross multiply
    11,090.38x = 16,640.13 × 8,143.87
  4. Step 4: Simplify right side
    11,090.38x = 135,514,972.30
  5. Step 5: Solve for x
    x = 135,514,972.30/11,090.38
  6. Step 6: Final answer
    x = 12,219.15

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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.