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Finding the Fourth Proportional to 7,067.67, 9,762.57 and 5,378.82

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Solution

The fourth proportional to 7,067.67, 9,762.57 and 5,378.82 is: 7,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.67 : 9,762.57 = 5,378.82 : x
  2. Step 2: Convert to fraction form
    7,067.67/9,762.57 = 5,378.82/x
  3. Step 3: Cross multiply
    7,067.67x = 9,762.57 × 5,378.82
  4. Step 4: Simplify right side
    7,067.67x = 52,511,106.77
  5. Step 5: Solve for x
    x = 52,511,106.77/7,067.67
  6. Step 6: Final answer
    x = 7,429.76

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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.