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Finding the Fourth Proportional to 10,755.23, 14,844.59 and 5,976.81

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Solution

The fourth proportional to 10,755.23, 14,844.59 and 5,976.81 is: 8,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.23 : 14,844.59 = 5,976.81 : x
  2. Step 2: Convert to fraction form
    10,755.23/14,844.59 = 5,976.81/x
  3. Step 3: Cross multiply
    10,755.23x = 14,844.59 × 5,976.81
  4. Step 4: Simplify right side
    10,755.23x = 88,723,286.49
  5. Step 5: Solve for x
    x = 88,723,286.49/10,755.23
  6. Step 6: Final answer
    x = 8,249.32

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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.