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Finding the Fourth Proportional to 10,600.26, 15,900.59 and 2,809

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Solution

The fourth proportional to 10,600.26, 15,900.59 and 2,809 is: 4,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.26 : 15,900.59 = 2,809 : x
  2. Step 2: Convert to fraction form
    10,600.26/15,900.59 = 2,809/x
  3. Step 3: Cross multiply
    10,600.26x = 15,900.59 × 2,809
  4. Step 4: Simplify right side
    10,600.26x = 44,664,757.31
  5. Step 5: Solve for x
    x = 44,664,757.31/10,600.26
  6. Step 6: Final answer
    x = 4,213.55

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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.