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Finding the Fourth Proportional to 10,081.31, 13,906.43 and 8,370.14

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Solution

The fourth proportional to 10,081.31, 13,906.43 and 8,370.14 is: 11,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.31 : 13,906.43 = 8,370.14 : x
  2. Step 2: Convert to fraction form
    10,081.31/13,906.43 = 8,370.14/x
  3. Step 3: Cross multiply
    10,081.31x = 13,906.43 × 8,370.14
  4. Step 4: Simplify right side
    10,081.31x = 116,398,733.09
  5. Step 5: Solve for x
    x = 116,398,733.09/10,081.31
  6. Step 6: Final answer
    x = 11,545.99

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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.