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Finding the Fourth Proportional to 8,380.86, 12,572.87 and 3,998.63

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Solution

The fourth proportional to 8,380.86, 12,572.87 and 3,998.63 is: 5,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.86 : 12,572.87 = 3,998.63 : x
  2. Step 2: Convert to fraction form
    8,380.86/12,572.87 = 3,998.63/x
  3. Step 3: Cross multiply
    8,380.86x = 12,572.87 × 3,998.63
  4. Step 4: Simplify right side
    8,380.86x = 50,274,172.31
  5. Step 5: Solve for x
    x = 50,274,172.31/8,380.86
  6. Step 6: Final answer
    x = 5,998.69

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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.