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Finding the Fourth Proportional to 8,418.62, 11,619.78 and 5,734.28

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Solution

The fourth proportional to 8,418.62, 11,619.78 and 5,734.28 is: 7,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.62 : 11,619.78 = 5,734.28 : x
  2. Step 2: Convert to fraction form
    8,418.62/11,619.78 = 5,734.28/x
  3. Step 3: Cross multiply
    8,418.62x = 11,619.78 × 5,734.28
  4. Step 4: Simplify right side
    8,418.62x = 66,631,072.06
  5. Step 5: Solve for x
    x = 66,631,072.06/8,418.62
  6. Step 6: Final answer
    x = 7,914.73

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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.