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Finding the Fourth Proportional to 11,771.66, 16,244.88 and 6,466.44

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Solution

The fourth proportional to 11,771.66, 16,244.88 and 6,466.44 is: 8,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.66 : 16,244.88 = 6,466.44 : x
  2. Step 2: Convert to fraction form
    11,771.66/16,244.88 = 6,466.44/x
  3. Step 3: Cross multiply
    11,771.66x = 16,244.88 × 6,466.44
  4. Step 4: Simplify right side
    11,771.66x = 105,046,541.83
  5. Step 5: Solve for x
    x = 105,046,541.83/11,771.66
  6. Step 6: Final answer
    x = 8,923.68

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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.