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Finding the Fourth Proportional to 8,523.56, 12,787.16 and 2,680.62

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Solution

The fourth proportional to 8,523.56, 12,787.16 and 2,680.62 is: 4,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.56 : 12,787.16 = 2,680.62 : x
  2. Step 2: Convert to fraction form
    8,523.56/12,787.16 = 2,680.62/x
  3. Step 3: Cross multiply
    8,523.56x = 12,787.16 × 2,680.62
  4. Step 4: Simplify right side
    8,523.56x = 34,277,503.44
  5. Step 5: Solve for x
    x = 34,277,503.44/8,523.56
  6. Step 6: Final answer
    x = 4,021.50

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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.