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Finding the Fourth Proportional to 11,835.24, 16,326.78 and 7,744.62

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Solution

The fourth proportional to 11,835.24, 16,326.78 and 7,744.62 is: 10,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.24 : 16,326.78 = 7,744.62 : x
  2. Step 2: Convert to fraction form
    11,835.24/16,326.78 = 7,744.62/x
  3. Step 3: Cross multiply
    11,835.24x = 16,326.78 × 7,744.62
  4. Step 4: Simplify right side
    11,835.24x = 126,444,706.92
  5. Step 5: Solve for x
    x = 126,444,706.92/11,835.24
  6. Step 6: Final answer
    x = 10,683.75

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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.