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Finding the Fourth Proportional to 10,481.82, 14,464.89 and 5,766.09

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Solution

The fourth proportional to 10,481.82, 14,464.89 and 5,766.09 is: 7,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.82 : 14,464.89 = 5,766.09 : x
  2. Step 2: Convert to fraction form
    10,481.82/14,464.89 = 5,766.09/x
  3. Step 3: Cross multiply
    10,481.82x = 14,464.89 × 5,766.09
  4. Step 4: Simplify right side
    10,481.82x = 83,405,857.58
  5. Step 5: Solve for x
    x = 83,405,857.58/10,481.82
  6. Step 6: Final answer
    x = 7,957.19

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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.