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Finding the Fourth Proportional to 8,524.74, 12,786.03 and 3,334.26

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Solution

The fourth proportional to 8,524.74, 12,786.03 and 3,334.26 is: 5,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.74 : 12,786.03 = 3,334.26 : x
  2. Step 2: Convert to fraction form
    8,524.74/12,786.03 = 3,334.26/x
  3. Step 3: Cross multiply
    8,524.74x = 12,786.03 × 3,334.26
  4. Step 4: Simplify right side
    8,524.74x = 42,631,948.39
  5. Step 5: Solve for x
    x = 42,631,948.39/8,524.74
  6. Step 6: Final answer
    x = 5,000.97

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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.