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Finding the Fourth Proportional to 8,494.56, 12,741.84 and 2,651.63

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Solution

The fourth proportional to 8,494.56, 12,741.84 and 2,651.63 is: 3,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.56 : 12,741.84 = 2,651.63 : x
  2. Step 2: Convert to fraction form
    8,494.56/12,741.84 = 2,651.63/x
  3. Step 3: Cross multiply
    8,494.56x = 12,741.84 × 2,651.63
  4. Step 4: Simplify right side
    8,494.56x = 33,786,581.49
  5. Step 5: Solve for x
    x = 33,786,581.49/8,494.56
  6. Step 6: Final answer
    x = 3,977.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.