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Finding the Fourth Proportional to 7,889.86, 11,826.39 and 5,936.02

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Solution

The fourth proportional to 7,889.86, 11,826.39 and 5,936.02 is: 8,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.86 : 11,826.39 = 5,936.02 : x
  2. Step 2: Convert to fraction form
    7,889.86/11,826.39 = 5,936.02/x
  3. Step 3: Cross multiply
    7,889.86x = 11,826.39 × 5,936.02
  4. Step 4: Simplify right side
    7,889.86x = 70,201,687.57
  5. Step 5: Solve for x
    x = 70,201,687.57/7,889.86
  6. Step 6: Final answer
    x = 8,897.71

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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.