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Finding the Fourth Proportional to 11,771.96, 16,255.84 and 8,782.60

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Solution

The fourth proportional to 11,771.96, 16,255.84 and 8,782.60 is: 12,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.96 : 16,255.84 = 8,782.60 : x
  2. Step 2: Convert to fraction form
    11,771.96/16,255.84 = 8,782.60/x
  3. Step 3: Cross multiply
    11,771.96x = 16,255.84 × 8,782.60
  4. Step 4: Simplify right side
    11,771.96x = 142,768,540.38
  5. Step 5: Solve for x
    x = 142,768,540.38/11,771.96
  6. Step 6: Final answer
    x = 12,127.85

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Why These Related Problems?

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