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Finding the Fourth Proportional to 11,917.31, 16,447.86 and 6,613.83

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Solution

The fourth proportional to 11,917.31, 16,447.86 and 6,613.83 is: 9,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.31 : 16,447.86 = 6,613.83 : x
  2. Step 2: Convert to fraction form
    11,917.31/16,447.86 = 6,613.83/x
  3. Step 3: Cross multiply
    11,917.31x = 16,447.86 × 6,613.83
  4. Step 4: Simplify right side
    11,917.31x = 108,783,349.90
  5. Step 5: Solve for x
    x = 108,783,349.90/11,917.31
  6. Step 6: Final answer
    x = 9,128.18

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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.