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Finding the Fourth Proportional to 10,996.98, 16,497.87 and 3,205.14

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Solution

The fourth proportional to 10,996.98, 16,497.87 and 3,205.14 is: 4,808.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.98 : 16,497.87 = 3,205.14 : x
  2. Step 2: Convert to fraction form
    10,996.98/16,497.87 = 3,205.14/x
  3. Step 3: Cross multiply
    10,996.98x = 16,497.87 × 3,205.14
  4. Step 4: Simplify right side
    10,996.98x = 52,877,983.05
  5. Step 5: Solve for x
    x = 52,877,983.05/10,996.98
  6. Step 6: Final answer
    x = 4,808.41

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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.