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Finding the Fourth Proportional to 11,640.96, 16,064.87 and 6,336.12

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Solution

The fourth proportional to 11,640.96, 16,064.87 and 6,336.12 is: 8,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.96 : 16,064.87 = 6,336.12 : x
  2. Step 2: Convert to fraction form
    11,640.96/16,064.87 = 6,336.12/x
  3. Step 3: Cross multiply
    11,640.96x = 16,064.87 × 6,336.12
  4. Step 4: Simplify right side
    11,640.96x = 101,788,912.42
  5. Step 5: Solve for x
    x = 101,788,912.42/11,640.96
  6. Step 6: Final answer
    x = 8,744.03

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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.