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Finding the Fourth Proportional to 8,183.86, 12,278.18 and 2,637.08

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Solution

The fourth proportional to 8,183.86, 12,278.18 and 2,637.08 is: 3,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.86 : 12,278.18 = 2,637.08 : x
  2. Step 2: Convert to fraction form
    8,183.86/12,278.18 = 2,637.08/x
  3. Step 3: Cross multiply
    8,183.86x = 12,278.18 × 2,637.08
  4. Step 4: Simplify right side
    8,183.86x = 32,378,534.16
  5. Step 5: Solve for x
    x = 32,378,534.16/8,183.86
  6. Step 6: Final answer
    x = 3,956.39

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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.