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Finding the Fourth Proportional to 13,105.79, 18,086.31 and 7,137.78

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Solution

The fourth proportional to 13,105.79, 18,086.31 and 7,137.78 is: 9,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.79 : 18,086.31 = 7,137.78 : x
  2. Step 2: Convert to fraction form
    13,105.79/18,086.31 = 7,137.78/x
  3. Step 3: Cross multiply
    13,105.79x = 18,086.31 × 7,137.78
  4. Step 4: Simplify right side
    13,105.79x = 129,096,101.79
  5. Step 5: Solve for x
    x = 129,096,101.79/13,105.79
  6. Step 6: Final answer
    x = 9,850.31

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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.