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Finding the Fourth Proportional to 11,709.94, 16,163.10 and 6,676.86

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Solution

The fourth proportional to 11,709.94, 16,163.10 and 6,676.86 is: 9,216.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.94 : 16,163.10 = 6,676.86 : x
  2. Step 2: Convert to fraction form
    11,709.94/16,163.10 = 6,676.86/x
  3. Step 3: Cross multiply
    11,709.94x = 16,163.10 × 6,676.86
  4. Step 4: Simplify right side
    11,709.94x = 107,918,755.87
  5. Step 5: Solve for x
    x = 107,918,755.87/11,709.94
  6. Step 6: Final answer
    x = 9,216.00

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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.