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Finding the Fourth Proportional to 11,764.66, 16,236.09 and 7,778.86

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Solution

The fourth proportional to 11,764.66, 16,236.09 and 7,778.86 is: 10,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.66 : 16,236.09 = 7,778.86 : x
  2. Step 2: Convert to fraction form
    11,764.66/16,236.09 = 7,778.86/x
  3. Step 3: Cross multiply
    11,764.66x = 16,236.09 × 7,778.86
  4. Step 4: Simplify right side
    11,764.66x = 126,298,282.48
  5. Step 5: Solve for x
    x = 126,298,282.48/11,764.66
  6. Step 6: Final answer
    x = 10,735.39

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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.