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Finding the Fourth Proportional to 7,067.82, 9,752.87 and 4,084.62

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Solution

The fourth proportional to 7,067.82, 9,752.87 and 4,084.62 is: 5,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.82 : 9,752.87 = 4,084.62 : x
  2. Step 2: Convert to fraction form
    7,067.82/9,752.87 = 4,084.62/x
  3. Step 3: Cross multiply
    7,067.82x = 9,752.87 × 4,084.62
  4. Step 4: Simplify right side
    7,067.82x = 39,836,767.86
  5. Step 5: Solve for x
    x = 39,836,767.86/7,067.82
  6. Step 6: Final answer
    x = 5,636.36

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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.