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Finding the Fourth Proportional to 11,744.80, 17,617.20 and 8,002.60

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Solution

The fourth proportional to 11,744.80, 17,617.20 and 8,002.60 is: 12,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.80 : 17,617.20 = 8,002.60 : x
  2. Step 2: Convert to fraction form
    11,744.80/17,617.20 = 8,002.60/x
  3. Step 3: Cross multiply
    11,744.80x = 17,617.20 × 8,002.60
  4. Step 4: Simplify right side
    11,744.80x = 140,983,404.72
  5. Step 5: Solve for x
    x = 140,983,404.72/11,744.80
  6. Step 6: Final answer
    x = 12,003.90

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