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Finding the Fourth Proportional to 8,255.97, 11,384.64 and 6,367.86

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Solution

The fourth proportional to 8,255.97, 11,384.64 and 6,367.86 is: 8,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.97 : 11,384.64 = 6,367.86 : x
  2. Step 2: Convert to fraction form
    8,255.97/11,384.64 = 6,367.86/x
  3. Step 3: Cross multiply
    8,255.97x = 11,384.64 × 6,367.86
  4. Step 4: Simplify right side
    8,255.97x = 72,495,793.67
  5. Step 5: Solve for x
    x = 72,495,793.67/8,255.97
  6. Step 6: Final answer
    x = 8,781.01

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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.