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Finding the Fourth Proportional to 11,771.75, 16,245.02 and 6,466.66

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Solution

The fourth proportional to 11,771.75, 16,245.02 and 6,466.66 is: 8,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.75 : 16,245.02 = 6,466.66 : x
  2. Step 2: Convert to fraction form
    11,771.75/16,245.02 = 6,466.66/x
  3. Step 3: Cross multiply
    11,771.75x = 16,245.02 × 6,466.66
  4. Step 4: Simplify right side
    11,771.75x = 105,051,021.03
  5. Step 5: Solve for x
    x = 105,051,021.03/11,771.75
  6. Step 6: Final answer
    x = 8,923.99

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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.