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Finding the Fourth Proportional to 8,436.47, 12,657.26 and 3,997.53

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Solution

The fourth proportional to 8,436.47, 12,657.26 and 3,997.53 is: 5,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.47 : 12,657.26 = 3,997.53 : x
  2. Step 2: Convert to fraction form
    8,436.47/12,657.26 = 3,997.53/x
  3. Step 3: Cross multiply
    8,436.47x = 12,657.26 × 3,997.53
  4. Step 4: Simplify right side
    8,436.47x = 50,597,786.56
  5. Step 5: Solve for x
    x = 50,597,786.56/8,436.47
  6. Step 6: Final answer
    x = 5,997.51

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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.