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Finding the Fourth Proportional to 8,520.86, 11,759.05 and 4,640.53

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Solution

The fourth proportional to 8,520.86, 11,759.05 and 4,640.53 is: 6,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.86 : 11,759.05 = 4,640.53 : x
  2. Step 2: Convert to fraction form
    8,520.86/11,759.05 = 4,640.53/x
  3. Step 3: Cross multiply
    8,520.86x = 11,759.05 × 4,640.53
  4. Step 4: Simplify right side
    8,520.86x = 54,568,183.30
  5. Step 5: Solve for x
    x = 54,568,183.30/8,520.86
  6. Step 6: Final answer
    x = 6,404.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.