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Finding the Fourth Proportional to 11,771.52, 16,244.26 and 6,466.02

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Solution

The fourth proportional to 11,771.52, 16,244.26 and 6,466.02 is: 8,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.52 : 16,244.26 = 6,466.02 : x
  2. Step 2: Convert to fraction form
    11,771.52/16,244.26 = 6,466.02/x
  3. Step 3: Cross multiply
    11,771.52x = 16,244.26 × 6,466.02
  4. Step 4: Simplify right side
    11,771.52x = 105,035,710.05
  5. Step 5: Solve for x
    x = 105,035,710.05/11,771.52
  6. Step 6: Final answer
    x = 8,922.87

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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.