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Finding the Fourth Proportional to 7,847.80, 11,771.70 and 2,004.41

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Solution

The fourth proportional to 7,847.80, 11,771.70 and 2,004.41 is: 3,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.80 : 11,771.70 = 2,004.41 : x
  2. Step 2: Convert to fraction form
    7,847.80/11,771.70 = 2,004.41/x
  3. Step 3: Cross multiply
    7,847.80x = 11,771.70 × 2,004.41
  4. Step 4: Simplify right side
    7,847.80x = 23,595,313.20
  5. Step 5: Solve for x
    x = 23,595,313.20/7,847.80
  6. Step 6: Final answer
    x = 3,006.62

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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.