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Finding the Fourth Proportional to 8,250.84, 12,361.84 and 6,873

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Solution

The fourth proportional to 8,250.84, 12,361.84 and 6,873 is: 10,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.84 : 12,361.84 = 6,873 : x
  2. Step 2: Convert to fraction form
    8,250.84/12,361.84 = 6,873/x
  3. Step 3: Cross multiply
    8,250.84x = 12,361.84 × 6,873
  4. Step 4: Simplify right side
    8,250.84x = 84,962,926.32
  5. Step 5: Solve for x
    x = 84,962,926.32/8,250.84
  6. Step 6: Final answer
    x = 10,297.49

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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.