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Finding the Fourth Proportional to 10,805.68, 16,171.86 and 6,648.31

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Solution

The fourth proportional to 10,805.68, 16,171.86 and 6,648.31 is: 9,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.68 : 16,171.86 = 6,648.31 : x
  2. Step 2: Convert to fraction form
    10,805.68/16,171.86 = 6,648.31/x
  3. Step 3: Cross multiply
    10,805.68x = 16,171.86 × 6,648.31
  4. Step 4: Simplify right side
    10,805.68x = 107,515,457.70
  5. Step 5: Solve for x
    x = 107,515,457.70/10,805.68
  6. Step 6: Final answer
    x = 9,949.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.