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Finding the Fourth Proportional to 8,624.50, 12,939.48 and 2,781.56

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Solution

The fourth proportional to 8,624.50, 12,939.48 and 2,781.56 is: 4,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.50 : 12,939.48 = 2,781.56 : x
  2. Step 2: Convert to fraction form
    8,624.50/12,939.48 = 2,781.56/x
  3. Step 3: Cross multiply
    8,624.50x = 12,939.48 × 2,781.56
  4. Step 4: Simplify right side
    8,624.50x = 35,991,972.34
  5. Step 5: Solve for x
    x = 35,991,972.34/8,624.50
  6. Step 6: Final answer
    x = 4,173.23

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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.