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Finding the Fourth Proportional to 8,177.25, 11,284.62 and 4,451.25

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Solution

The fourth proportional to 8,177.25, 11,284.62 and 4,451.25 is: 6,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.25 : 11,284.62 = 4,451.25 : x
  2. Step 2: Convert to fraction form
    8,177.25/11,284.62 = 4,451.25/x
  3. Step 3: Cross multiply
    8,177.25x = 11,284.62 × 4,451.25
  4. Step 4: Simplify right side
    8,177.25x = 50,230,664.78
  5. Step 5: Solve for x
    x = 50,230,664.78/8,177.25
  6. Step 6: Final answer
    x = 6,142.73

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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.