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Finding the Fourth Proportional to 8,494.41, 12,741.66 and 2,650.53

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Solution

The fourth proportional to 8,494.41, 12,741.66 and 2,650.53 is: 3,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.41 : 12,741.66 = 2,650.53 : x
  2. Step 2: Convert to fraction form
    8,494.41/12,741.66 = 2,650.53/x
  3. Step 3: Cross multiply
    8,494.41x = 12,741.66 × 2,650.53
  4. Step 4: Simplify right side
    8,494.41x = 33,772,152.08
  5. Step 5: Solve for x
    x = 33,772,152.08/8,494.41
  6. Step 6: Final answer
    x = 3,975.81

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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.