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Finding the Fourth Proportional to 11,648.25, 16,081.11 and 8,917.61

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Solution

The fourth proportional to 11,648.25, 16,081.11 and 8,917.61 is: 12,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.25 : 16,081.11 = 8,917.61 : x
  2. Step 2: Convert to fraction form
    11,648.25/16,081.11 = 8,917.61/x
  3. Step 3: Cross multiply
    11,648.25x = 16,081.11 × 8,917.61
  4. Step 4: Simplify right side
    11,648.25x = 143,404,986.94
  5. Step 5: Solve for x
    x = 143,404,986.94/11,648.25
  6. Step 6: Final answer
    x = 12,311.29

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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.