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Finding the Fourth Proportional to 11,906.26, 16,430.62 and 6,601.86

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Solution

The fourth proportional to 11,906.26, 16,430.62 and 6,601.86 is: 9,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.26 : 16,430.62 = 6,601.86 : x
  2. Step 2: Convert to fraction form
    11,906.26/16,430.62 = 6,601.86/x
  3. Step 3: Cross multiply
    11,906.26x = 16,430.62 × 6,601.86
  4. Step 4: Simplify right side
    11,906.26x = 108,472,652.95
  5. Step 5: Solve for x
    x = 108,472,652.95/11,906.26
  6. Step 6: Final answer
    x = 9,110.56

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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.