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Finding the Fourth Proportional to 11,382.36, 17,078.96 and 5,144.28

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Solution

The fourth proportional to 11,382.36, 17,078.96 and 5,144.28 is: 7,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.36 : 17,078.96 = 5,144.28 : x
  2. Step 2: Convert to fraction form
    11,382.36/17,078.96 = 5,144.28/x
  3. Step 3: Cross multiply
    11,382.36x = 17,078.96 × 5,144.28
  4. Step 4: Simplify right side
    11,382.36x = 87,858,952.35
  5. Step 5: Solve for x
    x = 87,858,952.35/11,382.36
  6. Step 6: Final answer
    x = 7,718.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.