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Finding the Fourth Proportional to 10,450.68, 15,676.11 and 2,659.50

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Solution

The fourth proportional to 10,450.68, 15,676.11 and 2,659.50 is: 3,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.68 : 15,676.11 = 2,659.50 : x
  2. Step 2: Convert to fraction form
    10,450.68/15,676.11 = 2,659.50/x
  3. Step 3: Cross multiply
    10,450.68x = 15,676.11 × 2,659.50
  4. Step 4: Simplify right side
    10,450.68x = 41,690,614.55
  5. Step 5: Solve for x
    x = 41,690,614.55/10,450.68
  6. Step 6: Final answer
    x = 3,989.27

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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.