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Finding the Fourth Proportional to 12,105.28, 16,706.24 and 6,800.44

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Solution

The fourth proportional to 12,105.28, 16,706.24 and 6,800.44 is: 9,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.28 : 16,706.24 = 6,800.44 : x
  2. Step 2: Convert to fraction form
    12,105.28/16,706.24 = 6,800.44/x
  3. Step 3: Cross multiply
    12,105.28x = 16,706.24 × 6,800.44
  4. Step 4: Simplify right side
    12,105.28x = 113,609,782.75
  5. Step 5: Solve for x
    x = 113,609,782.75/12,105.28
  6. Step 6: Final answer
    x = 9,385.14

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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.