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Finding the Fourth Proportional to 8,067.61, 11,102.96 and 6,825

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Solution

The fourth proportional to 8,067.61, 11,102.96 and 6,825 is: 9,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.61 : 11,102.96 = 6,825 : x
  2. Step 2: Convert to fraction form
    8,067.61/11,102.96 = 6,825/x
  3. Step 3: Cross multiply
    8,067.61x = 11,102.96 × 6,825
  4. Step 4: Simplify right side
    8,067.61x = 75,777,719.06
  5. Step 5: Solve for x
    x = 75,777,719.06/8,067.61
  6. Step 6: Final answer
    x = 9,392.84

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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.