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Finding the Fourth Proportional to 8,499.82, 11,727.95 and 4,961.44

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Solution

The fourth proportional to 8,499.82, 11,727.95 and 4,961.44 is: 6,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.82 : 11,727.95 = 4,961.44 : x
  2. Step 2: Convert to fraction form
    8,499.82/11,727.95 = 4,961.44/x
  3. Step 3: Cross multiply
    8,499.82x = 11,727.95 × 4,961.44
  4. Step 4: Simplify right side
    8,499.82x = 58,187,520.25
  5. Step 5: Solve for x
    x = 58,187,520.25/8,499.82
  6. Step 6: Final answer
    x = 6,845.74

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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.