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Finding the Fourth Proportional to 8,494.36, 12,741.09 and 2,650.30

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Solution

The fourth proportional to 8,494.36, 12,741.09 and 2,650.30 is: 3,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.36 : 12,741.09 = 2,650.30 : x
  2. Step 2: Convert to fraction form
    8,494.36/12,741.09 = 2,650.30/x
  3. Step 3: Cross multiply
    8,494.36x = 12,741.09 × 2,650.30
  4. Step 4: Simplify right side
    8,494.36x = 33,767,710.83
  5. Step 5: Solve for x
    x = 33,767,710.83/8,494.36
  6. Step 6: Final answer
    x = 3,975.31

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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.