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Finding the Fourth Proportional to 8,114.52, 11,198.04 and 4,578.48

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Solution

The fourth proportional to 8,114.52, 11,198.04 and 4,578.48 is: 6,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.52 : 11,198.04 = 4,578.48 : x
  2. Step 2: Convert to fraction form
    8,114.52/11,198.04 = 4,578.48/x
  3. Step 3: Cross multiply
    8,114.52x = 11,198.04 × 4,578.48
  4. Step 4: Simplify right side
    8,114.52x = 51,270,002.18
  5. Step 5: Solve for x
    x = 51,270,002.18/8,114.52
  6. Step 6: Final answer
    x = 6,318.30

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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.