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Finding the Fourth Proportional to 7,940.82, 11,912.37 and 2,602.86

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Solution

The fourth proportional to 7,940.82, 11,912.37 and 2,602.86 is: 3,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.82 : 11,912.37 = 2,602.86 : x
  2. Step 2: Convert to fraction form
    7,940.82/11,912.37 = 2,602.86/x
  3. Step 3: Cross multiply
    7,940.82x = 11,912.37 × 2,602.86
  4. Step 4: Simplify right side
    7,940.82x = 31,006,158.80
  5. Step 5: Solve for x
    x = 31,006,158.80/7,940.82
  6. Step 6: Final answer
    x = 3,904.65

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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.