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Finding the Fourth Proportional to 7,067.76, 9,752.78 and 4,084.55

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Solution

The fourth proportional to 7,067.76, 9,752.78 and 4,084.55 is: 5,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.76 : 9,752.78 = 4,084.55 : x
  2. Step 2: Convert to fraction form
    7,067.76/9,752.78 = 4,084.55/x
  3. Step 3: Cross multiply
    7,067.76x = 9,752.78 × 4,084.55
  4. Step 4: Simplify right side
    7,067.76x = 39,835,717.55
  5. Step 5: Solve for x
    x = 39,835,717.55/7,067.76
  6. Step 6: Final answer
    x = 5,636.26

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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.