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Finding the Fourth Proportional to 8,523.96, 12,786.64 and 2,682.24

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Solution

The fourth proportional to 8,523.96, 12,786.64 and 2,682.24 is: 4,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.96 : 12,786.64 = 2,682.24 : x
  2. Step 2: Convert to fraction form
    8,523.96/12,786.64 = 2,682.24/x
  3. Step 3: Cross multiply
    8,523.96x = 12,786.64 × 2,682.24
  4. Step 4: Simplify right side
    8,523.96x = 34,296,837.27
  5. Step 5: Solve for x
    x = 34,296,837.27/8,523.96
  6. Step 6: Final answer
    x = 4,023.58

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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.