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Finding the Fourth Proportional to 10,997.67, 16,497.09 and 3,207.09

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Solution

The fourth proportional to 10,997.67, 16,497.09 and 3,207.09 is: 4,810.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.67 : 16,497.09 = 3,207.09 : x
  2. Step 2: Convert to fraction form
    10,997.67/16,497.09 = 3,207.09/x
  3. Step 3: Cross multiply
    10,997.67x = 16,497.09 × 3,207.09
  4. Step 4: Simplify right side
    10,997.67x = 52,907,652.37
  5. Step 5: Solve for x
    x = 52,907,652.37/10,997.67
  6. Step 6: Final answer
    x = 4,810.81

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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.