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Finding the Fourth Proportional to 11,771.58, 16,244.82 and 6,466.26

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Solution

The fourth proportional to 11,771.58, 16,244.82 and 6,466.26 is: 8,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.58 : 16,244.82 = 6,466.26 : x
  2. Step 2: Convert to fraction form
    11,771.58/16,244.82 = 6,466.26/x
  3. Step 3: Cross multiply
    11,771.58x = 16,244.82 × 6,466.26
  4. Step 4: Simplify right side
    11,771.58x = 105,043,229.77
  5. Step 5: Solve for x
    x = 105,043,229.77/11,771.58
  6. Step 6: Final answer
    x = 8,923.46

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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.