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Finding the Fourth Proportional to 12,105.72, 16,704.08 and 6,799.50

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Solution

The fourth proportional to 12,105.72, 16,704.08 and 6,799.50 is: 9,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.72 : 16,704.08 = 6,799.50 : x
  2. Step 2: Convert to fraction form
    12,105.72/16,704.08 = 6,799.50/x
  3. Step 3: Cross multiply
    12,105.72x = 16,704.08 × 6,799.50
  4. Step 4: Simplify right side
    12,105.72x = 113,579,391.96
  5. Step 5: Solve for x
    x = 113,579,391.96/12,105.72
  6. Step 6: Final answer
    x = 9,382.29

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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.