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Finding the Fourth Proportional to 11,917.30, 16,447.84 and 6,613.82

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Solution

The fourth proportional to 11,917.30, 16,447.84 and 6,613.82 is: 9,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.30 : 16,447.84 = 6,613.82 : x
  2. Step 2: Convert to fraction form
    11,917.30/16,447.84 = 6,613.82/x
  3. Step 3: Cross multiply
    11,917.30x = 16,447.84 × 6,613.82
  4. Step 4: Simplify right side
    11,917.30x = 108,783,053.15
  5. Step 5: Solve for x
    x = 108,783,053.15/11,917.30
  6. Step 6: Final answer
    x = 9,128.16

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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.