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Finding the Fourth Proportional to 7,847.30, 11,770.94 and 2,003.92

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Solution

The fourth proportional to 7,847.30, 11,770.94 and 2,003.92 is: 3,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.30 : 11,770.94 = 2,003.92 : x
  2. Step 2: Convert to fraction form
    7,847.30/11,770.94 = 2,003.92/x
  3. Step 3: Cross multiply
    7,847.30x = 11,770.94 × 2,003.92
  4. Step 4: Simplify right side
    7,847.30x = 23,587,997.67
  5. Step 5: Solve for x
    x = 23,587,997.67/7,847.30
  6. Step 6: Final answer
    x = 3,005.87

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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.