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Finding the Fourth Proportional to 10,138.76, 13,991.09 and 5,662.43

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Solution

The fourth proportional to 10,138.76, 13,991.09 and 5,662.43 is: 7,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.76 : 13,991.09 = 5,662.43 : x
  2. Step 2: Convert to fraction form
    10,138.76/13,991.09 = 5,662.43/x
  3. Step 3: Cross multiply
    10,138.76x = 13,991.09 × 5,662.43
  4. Step 4: Simplify right side
    10,138.76x = 79,223,469.48
  5. Step 5: Solve for x
    x = 79,223,469.48/10,138.76
  6. Step 6: Final answer
    x = 7,813.92

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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.