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Finding the Fourth Proportional to 11,889.55, 16,408.09 and 6,584.37

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Solution

The fourth proportional to 11,889.55, 16,408.09 and 6,584.37 is: 9,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.55 : 16,408.09 = 6,584.37 : x
  2. Step 2: Convert to fraction form
    11,889.55/16,408.09 = 6,584.37/x
  3. Step 3: Cross multiply
    11,889.55x = 16,408.09 × 6,584.37
  4. Step 4: Simplify right side
    11,889.55x = 108,036,935.55
  5. Step 5: Solve for x
    x = 108,036,935.55/11,889.55
  6. Step 6: Final answer
    x = 9,086.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.