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Finding the Fourth Proportional to 8,249, 12,375.12 and 3,632

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Solution

The fourth proportional to 8,249, 12,375.12 and 3,632 is: 5,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249 : 12,375.12 = 3,632 : x
  2. Step 2: Convert to fraction form
    8,249/12,375.12 = 3,632/x
  3. Step 3: Cross multiply
    8,249x = 12,375.12 × 3,632
  4. Step 4: Simplify right side
    8,249x = 44,946,435.84
  5. Step 5: Solve for x
    x = 44,946,435.84/8,249
  6. Step 6: Final answer
    x = 5,448.71

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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.