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Finding the Fourth Proportional to 12,211.41, 18,315.63 and 5,194.25

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Solution

The fourth proportional to 12,211.41, 18,315.63 and 5,194.25 is: 7,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.41 : 18,315.63 = 5,194.25 : x
  2. Step 2: Convert to fraction form
    12,211.41/18,315.63 = 5,194.25/x
  3. Step 3: Cross multiply
    12,211.41x = 18,315.63 × 5,194.25
  4. Step 4: Simplify right side
    12,211.41x = 95,135,869.55
  5. Step 5: Solve for x
    x = 95,135,869.55/12,211.41
  6. Step 6: Final answer
    x = 7,790.74

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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.