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Finding the Fourth Proportional to 11,835.49, 16,327.13 and 7,744.87

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Solution

The fourth proportional to 11,835.49, 16,327.13 and 7,744.87 is: 10,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.49 : 16,327.13 = 7,744.87 : x
  2. Step 2: Convert to fraction form
    11,835.49/16,327.13 = 7,744.87/x
  3. Step 3: Cross multiply
    11,835.49x = 16,327.13 × 7,744.87
  4. Step 4: Simplify right side
    11,835.49x = 126,451,460.60
  5. Step 5: Solve for x
    x = 126,451,460.60/11,835.49
  6. Step 6: Final answer
    x = 10,684.09

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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.