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Finding the Fourth Proportional to 8,771.73, 13,157.16 and 3,224.65

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Solution

The fourth proportional to 8,771.73, 13,157.16 and 3,224.65 is: 4,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.73 : 13,157.16 = 3,224.65 : x
  2. Step 2: Convert to fraction form
    8,771.73/13,157.16 = 3,224.65/x
  3. Step 3: Cross multiply
    8,771.73x = 13,157.16 × 3,224.65
  4. Step 4: Simplify right side
    8,771.73x = 42,427,170.21
  5. Step 5: Solve for x
    x = 42,427,170.21/8,771.73
  6. Step 6: Final answer
    x = 4,836.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.