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Finding the Fourth Proportional to 8,005.09, 12,008.20 and 3,074.73

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Solution

The fourth proportional to 8,005.09, 12,008.20 and 3,074.73 is: 4,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.09 : 12,008.20 = 3,074.73 : x
  2. Step 2: Convert to fraction form
    8,005.09/12,008.20 = 3,074.73/x
  3. Step 3: Cross multiply
    8,005.09x = 12,008.20 × 3,074.73
  4. Step 4: Simplify right side
    8,005.09x = 36,921,912.75
  5. Step 5: Solve for x
    x = 36,921,912.75/8,005.09
  6. Step 6: Final answer
    x = 4,612.31

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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.