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Finding the Fourth Proportional to 7,847.82, 11,769.30 and 3,468.96

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Solution

The fourth proportional to 7,847.82, 11,769.30 and 3,468.96 is: 5,202.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.82 : 11,769.30 = 3,468.96 : x
  2. Step 2: Convert to fraction form
    7,847.82/11,769.30 = 3,468.96/x
  3. Step 3: Cross multiply
    7,847.82x = 11,769.30 × 3,468.96
  4. Step 4: Simplify right side
    7,847.82x = 40,827,230.93
  5. Step 5: Solve for x
    x = 40,827,230.93/7,847.82
  6. Step 6: Final answer
    x = 5,202.37

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Why These Related Problems?

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