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Finding the Fourth Proportional to 8,123.44, 12,173.39 and 3,436.98

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Solution

The fourth proportional to 8,123.44, 12,173.39 and 3,436.98 is: 5,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.44 : 12,173.39 = 3,436.98 : x
  2. Step 2: Convert to fraction form
    8,123.44/12,173.39 = 3,436.98/x
  3. Step 3: Cross multiply
    8,123.44x = 12,173.39 × 3,436.98
  4. Step 4: Simplify right side
    8,123.44x = 41,839,716.49
  5. Step 5: Solve for x
    x = 41,839,716.49/8,123.44
  6. Step 6: Final answer
    x = 5,150.49

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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.