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Finding the Fourth Proportional to 7,679.37, 11,516.77 and 3,295.78

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Solution

The fourth proportional to 7,679.37, 11,516.77 and 3,295.78 is: 4,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.37 : 11,516.77 = 3,295.78 : x
  2. Step 2: Convert to fraction form
    7,679.37/11,516.77 = 3,295.78/x
  3. Step 3: Cross multiply
    7,679.37x = 11,516.77 × 3,295.78
  4. Step 4: Simplify right side
    7,679.37x = 37,956,740.23
  5. Step 5: Solve for x
    x = 37,956,740.23/7,679.37
  6. Step 6: Final answer
    x = 4,942.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.