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Finding the Fourth Proportional to 11,156.98, 16,737.39 and 3,761.50

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Solution

The fourth proportional to 11,156.98, 16,737.39 and 3,761.50 is: 5,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,156.98 : 16,737.39 = 3,761.50 : x
  2. Step 2: Convert to fraction form
    11,156.98/16,737.39 = 3,761.50/x
  3. Step 3: Cross multiply
    11,156.98x = 16,737.39 × 3,761.50
  4. Step 4: Simplify right side
    11,156.98x = 62,957,692.49
  5. Step 5: Solve for x
    x = 62,957,692.49/11,156.98
  6. Step 6: Final answer
    x = 5,642.90

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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.