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Finding the Fourth Proportional to 28,787.50, 43,183.73 and 8,011

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Solution

The fourth proportional to 28,787.50, 43,183.73 and 8,011 is: 12,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,787.50 : 43,183.73 = 8,011 : x
  2. Step 2: Convert to fraction form
    28,787.50/43,183.73 = 8,011/x
  3. Step 3: Cross multiply
    28,787.50x = 43,183.73 × 8,011
  4. Step 4: Simplify right side
    28,787.50x = 345,944,861.03
  5. Step 5: Solve for x
    x = 345,944,861.03/28,787.50
  6. Step 6: Final answer
    x = 12,017.19

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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.