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Finding the Fourth Proportional to 7,858.47, 11,783.94 and 3,694.97

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Solution

The fourth proportional to 7,858.47, 11,783.94 and 3,694.97 is: 5,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.47 : 11,783.94 = 3,694.97 : x
  2. Step 2: Convert to fraction form
    7,858.47/11,783.94 = 3,694.97/x
  3. Step 3: Cross multiply
    7,858.47x = 11,783.94 × 3,694.97
  4. Step 4: Simplify right side
    7,858.47x = 43,541,245.86
  5. Step 5: Solve for x
    x = 43,541,245.86/7,858.47
  6. Step 6: Final answer
    x = 5,540.68

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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.