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Finding the Fourth Proportional to 11,905.26, 16,429.26 and 6,599.96

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Solution

The fourth proportional to 11,905.26, 16,429.26 and 6,599.96 is: 9,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.26 : 16,429.26 = 6,599.96 : x
  2. Step 2: Convert to fraction form
    11,905.26/16,429.26 = 6,599.96/x
  3. Step 3: Cross multiply
    11,905.26x = 16,429.26 × 6,599.96
  4. Step 4: Simplify right side
    11,905.26x = 108,432,376.68
  5. Step 5: Solve for x
    x = 108,432,376.68/11,905.26
  6. Step 6: Final answer
    x = 9,107.94

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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.