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Finding the Fourth Proportional to 10,105.80, 13,945.14 and 5,914.32

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Solution

The fourth proportional to 10,105.80, 13,945.14 and 5,914.32 is: 8,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.80 : 13,945.14 = 5,914.32 : x
  2. Step 2: Convert to fraction form
    10,105.80/13,945.14 = 5,914.32/x
  3. Step 3: Cross multiply
    10,105.80x = 13,945.14 × 5,914.32
  4. Step 4: Simplify right side
    10,105.80x = 82,476,020.40
  5. Step 5: Solve for x
    x = 82,476,020.40/10,105.80
  6. Step 6: Final answer
    x = 8,161.26

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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.