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Finding the Fourth Proportional to 11,676.23, 16,113.22 and 6,640.32

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Solution

The fourth proportional to 11,676.23, 16,113.22 and 6,640.32 is: 9,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.23 : 16,113.22 = 6,640.32 : x
  2. Step 2: Convert to fraction form
    11,676.23/16,113.22 = 6,640.32/x
  3. Step 3: Cross multiply
    11,676.23x = 16,113.22 × 6,640.32
  4. Step 4: Simplify right side
    11,676.23x = 106,996,920.43
  5. Step 5: Solve for x
    x = 106,996,920.43/11,676.23
  6. Step 6: Final answer
    x = 9,163.66

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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.