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Finding the Fourth Proportional to 8,494.58, 12,741.24 and 2,651

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Solution

The fourth proportional to 8,494.58, 12,741.24 and 2,651 is: 3,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.58 : 12,741.24 = 2,651 : x
  2. Step 2: Convert to fraction form
    8,494.58/12,741.24 = 2,651/x
  3. Step 3: Cross multiply
    8,494.58x = 12,741.24 × 2,651
  4. Step 4: Simplify right side
    8,494.58x = 33,777,027.24
  5. Step 5: Solve for x
    x = 33,777,027.24/8,494.58
  6. Step 6: Final answer
    x = 3,976.30

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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.