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Finding the Fourth Proportional to 12,086.05, 18,129.94 and 5,059

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Solution

The fourth proportional to 12,086.05, 18,129.94 and 5,059 is: 7,588.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.05 : 18,129.94 = 5,059 : x
  2. Step 2: Convert to fraction form
    12,086.05/18,129.94 = 5,059/x
  3. Step 3: Cross multiply
    12,086.05x = 18,129.94 × 5,059
  4. Step 4: Simplify right side
    12,086.05x = 91,719,366.46
  5. Step 5: Solve for x
    x = 91,719,366.46/12,086.05
  6. Step 6: Final answer
    x = 7,588.86

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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.