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Finding the Fourth Proportional to 11,600.96, 16,009.29 and 6,295.73

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Solution

The fourth proportional to 11,600.96, 16,009.29 and 6,295.73 is: 8,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.96 : 16,009.29 = 6,295.73 : x
  2. Step 2: Convert to fraction form
    11,600.96/16,009.29 = 6,295.73/x
  3. Step 3: Cross multiply
    11,600.96x = 16,009.29 × 6,295.73
  4. Step 4: Simplify right side
    11,600.96x = 100,790,167.33
  5. Step 5: Solve for x
    x = 100,790,167.33/11,600.96
  6. Step 6: Final answer
    x = 8,688.09

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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.