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Finding the Fourth Proportional to 8,114.36, 11,197.14 and 4,578.44

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Solution

The fourth proportional to 8,114.36, 11,197.14 and 4,578.44 is: 6,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.36 : 11,197.14 = 4,578.44 : x
  2. Step 2: Convert to fraction form
    8,114.36/11,197.14 = 4,578.44/x
  3. Step 3: Cross multiply
    8,114.36x = 11,197.14 × 4,578.44
  4. Step 4: Simplify right side
    8,114.36x = 51,265,433.66
  5. Step 5: Solve for x
    x = 51,265,433.66/8,114.36
  6. Step 6: Final answer
    x = 6,317.87

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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.