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Finding the Fourth Proportional to 10,520.50, 15,780.87 and 2,728.84

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Solution

The fourth proportional to 10,520.50, 15,780.87 and 2,728.84 is: 4,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.50 : 15,780.87 = 2,728.84 : x
  2. Step 2: Convert to fraction form
    10,520.50/15,780.87 = 2,728.84/x
  3. Step 3: Cross multiply
    10,520.50x = 15,780.87 × 2,728.84
  4. Step 4: Simplify right side
    10,520.50x = 43,063,469.29
  5. Step 5: Solve for x
    x = 43,063,469.29/10,520.50
  6. Step 6: Final answer
    x = 4,093.29

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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.