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Finding the Fourth Proportional to 7,858.08, 11,791.17 and 3,478.61

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Solution

The fourth proportional to 7,858.08, 11,791.17 and 3,478.61 is: 5,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.08 : 11,791.17 = 3,478.61 : x
  2. Step 2: Convert to fraction form
    7,858.08/11,791.17 = 3,478.61/x
  3. Step 3: Cross multiply
    7,858.08x = 11,791.17 × 3,478.61
  4. Step 4: Simplify right side
    7,858.08x = 41,016,911.35
  5. Step 5: Solve for x
    x = 41,016,911.35/7,858.08
  6. Step 6: Final answer
    x = 5,219.71

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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.