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Finding the Fourth Proportional to 11,771.82, 16,245.18 and 6,466.68

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Solution

The fourth proportional to 11,771.82, 16,245.18 and 6,466.68 is: 8,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.82 : 16,245.18 = 6,466.68 : x
  2. Step 2: Convert to fraction form
    11,771.82/16,245.18 = 6,466.68/x
  3. Step 3: Cross multiply
    11,771.82x = 16,245.18 × 6,466.68
  4. Step 4: Simplify right side
    11,771.82x = 105,052,380.60
  5. Step 5: Solve for x
    x = 105,052,380.60/11,771.82
  6. Step 6: Final answer
    x = 8,924.06

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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.