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Finding the Fourth Proportional to 10,997.90, 16,496.87 and 2,677.87

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Solution

The fourth proportional to 10,997.90, 16,496.87 and 2,677.87 is: 4,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.90 : 16,496.87 = 2,677.87 : x
  2. Step 2: Convert to fraction form
    10,997.90/16,496.87 = 2,677.87/x
  3. Step 3: Cross multiply
    10,997.90x = 16,496.87 × 2,677.87
  4. Step 4: Simplify right side
    10,997.90x = 44,176,480.50
  5. Step 5: Solve for x
    x = 44,176,480.50/10,997.90
  6. Step 6: Final answer
    x = 4,016.81

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Why These Related Problems?

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