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Finding the Fourth Proportional to 8,175.94, 12,247.27 and 7,494.78

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Solution

The fourth proportional to 8,175.94, 12,247.27 and 7,494.78 is: 11,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.94 : 12,247.27 = 7,494.78 : x
  2. Step 2: Convert to fraction form
    8,175.94/12,247.27 = 7,494.78/x
  3. Step 3: Cross multiply
    8,175.94x = 12,247.27 × 7,494.78
  4. Step 4: Simplify right side
    8,175.94x = 91,790,594.25
  5. Step 5: Solve for x
    x = 91,790,594.25/8,175.94
  6. Step 6: Final answer
    x = 11,226.92

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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.