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Finding the Fourth Proportional to 11,795.80, 17,674.80 and 6,241.90

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Solution

The fourth proportional to 11,795.80, 17,674.80 and 6,241.90 is: 9,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.80 : 17,674.80 = 6,241.90 : x
  2. Step 2: Convert to fraction form
    11,795.80/17,674.80 = 6,241.90/x
  3. Step 3: Cross multiply
    11,795.80x = 17,674.80 × 6,241.90
  4. Step 4: Simplify right side
    11,795.80x = 110,324,334.12
  5. Step 5: Solve for x
    x = 110,324,334.12/11,795.80
  6. Step 6: Final answer
    x = 9,352.85

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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.