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Finding the Fourth Proportional to 8,113.63, 12,165.21 and 3,183.77

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Solution

The fourth proportional to 8,113.63, 12,165.21 and 3,183.77 is: 4,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.63 : 12,165.21 = 3,183.77 : x
  2. Step 2: Convert to fraction form
    8,113.63/12,165.21 = 3,183.77/x
  3. Step 3: Cross multiply
    8,113.63x = 12,165.21 × 3,183.77
  4. Step 4: Simplify right side
    8,113.63x = 38,731,161.86
  5. Step 5: Solve for x
    x = 38,731,161.86/8,113.63
  6. Step 6: Final answer
    x = 4,773.59

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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.