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Finding the Fourth Proportional to 11,713.72, 16,164.96 and 6,408.56

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Solution

The fourth proportional to 11,713.72, 16,164.96 and 6,408.56 is: 8,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.72 : 16,164.96 = 6,408.56 : x
  2. Step 2: Convert to fraction form
    11,713.72/16,164.96 = 6,408.56/x
  3. Step 3: Cross multiply
    11,713.72x = 16,164.96 × 6,408.56
  4. Step 4: Simplify right side
    11,713.72x = 103,594,116.06
  5. Step 5: Solve for x
    x = 103,594,116.06/11,713.72
  6. Step 6: Final answer
    x = 8,843.83

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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.