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Finding the Fourth Proportional to 12,188.76, 18,286.38 and 3,869

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Solution

The fourth proportional to 12,188.76, 18,286.38 and 3,869 is: 5,804.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.76 : 18,286.38 = 3,869 : x
  2. Step 2: Convert to fraction form
    12,188.76/18,286.38 = 3,869/x
  3. Step 3: Cross multiply
    12,188.76x = 18,286.38 × 3,869
  4. Step 4: Simplify right side
    12,188.76x = 70,750,004.22
  5. Step 5: Solve for x
    x = 70,750,004.22/12,188.76
  6. Step 6: Final answer
    x = 5,804.53

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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.