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Finding the Fourth Proportional to 8,115.21, 11,198.75 and 4,578.21

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Solution

The fourth proportional to 8,115.21, 11,198.75 and 4,578.21 is: 6,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.21 : 11,198.75 = 4,578.21 : x
  2. Step 2: Convert to fraction form
    8,115.21/11,198.75 = 4,578.21/x
  3. Step 3: Cross multiply
    8,115.21x = 11,198.75 × 4,578.21
  4. Step 4: Simplify right side
    8,115.21x = 51,270,206.35
  5. Step 5: Solve for x
    x = 51,270,206.35/8,115.21
  6. Step 6: Final answer
    x = 6,317.79

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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.