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Finding the Fourth Proportional to 11,452.74, 15,811.92 and 8,794.86

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Solution

The fourth proportional to 11,452.74, 15,811.92 and 8,794.86 is: 12,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.74 : 15,811.92 = 8,794.86 : x
  2. Step 2: Convert to fraction form
    11,452.74/15,811.92 = 8,794.86/x
  3. Step 3: Cross multiply
    11,452.74x = 15,811.92 × 8,794.86
  4. Step 4: Simplify right side
    11,452.74x = 139,063,622.73
  5. Step 5: Solve for x
    x = 139,063,622.73/11,452.74
  6. Step 6: Final answer
    x = 12,142.39

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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.