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Finding the Fourth Proportional to 11,644.62, 16,069.17 and 6,339.33

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Solution

The fourth proportional to 11,644.62, 16,069.17 and 6,339.33 is: 8,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.62 : 16,069.17 = 6,339.33 : x
  2. Step 2: Convert to fraction form
    11,644.62/16,069.17 = 6,339.33/x
  3. Step 3: Cross multiply
    11,644.62x = 16,069.17 × 6,339.33
  4. Step 4: Simplify right side
    11,644.62x = 101,867,771.46
  5. Step 5: Solve for x
    x = 101,867,771.46/11,644.62
  6. Step 6: Final answer
    x = 8,748.05

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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.