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Finding the Fourth Proportional to 7,847.82, 11,771.72 and 2,004.42

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Solution

The fourth proportional to 7,847.82, 11,771.72 and 2,004.42 is: 3,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.82 : 11,771.72 = 2,004.42 : x
  2. Step 2: Convert to fraction form
    7,847.82/11,771.72 = 2,004.42/x
  3. Step 3: Cross multiply
    7,847.82x = 11,771.72 × 2,004.42
  4. Step 4: Simplify right side
    7,847.82x = 23,595,471.00
  5. Step 5: Solve for x
    x = 23,595,471.00/7,847.82
  6. Step 6: Final answer
    x = 3,006.63

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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.