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Finding the Fourth Proportional to 10,997.68, 16,496.52 and 2,677.70

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Solution

The fourth proportional to 10,997.68, 16,496.52 and 2,677.70 is: 4,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.68 : 16,496.52 = 2,677.70 : x
  2. Step 2: Convert to fraction form
    10,997.68/16,496.52 = 2,677.70/x
  3. Step 3: Cross multiply
    10,997.68x = 16,496.52 × 2,677.70
  4. Step 4: Simplify right side
    10,997.68x = 44,172,649.12
  5. Step 5: Solve for x
    x = 44,172,649.12/10,997.68
  6. Step 6: Final answer
    x = 4,016.54

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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.