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Finding the Fourth Proportional to 8,004.45, 11,998.34 and 3,327

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Solution

The fourth proportional to 8,004.45, 11,998.34 and 3,327 is: 4,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.45 : 11,998.34 = 3,327 : x
  2. Step 2: Convert to fraction form
    8,004.45/11,998.34 = 3,327/x
  3. Step 3: Cross multiply
    8,004.45x = 11,998.34 × 3,327
  4. Step 4: Simplify right side
    8,004.45x = 39,918,485.50
  5. Step 5: Solve for x
    x = 39,918,485.50/8,004.45
  6. Step 6: Final answer
    x = 4,987.04

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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.