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Finding the Fourth Proportional to 11,517.96, 15,893.90 and 6,801.34

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Solution

The fourth proportional to 11,517.96, 15,893.90 and 6,801.34 is: 9,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.96 : 15,893.90 = 6,801.34 : x
  2. Step 2: Convert to fraction form
    11,517.96/15,893.90 = 6,801.34/x
  3. Step 3: Cross multiply
    11,517.96x = 15,893.90 × 6,801.34
  4. Step 4: Simplify right side
    11,517.96x = 108,099,817.83
  5. Step 5: Solve for x
    x = 108,099,817.83/11,517.96
  6. Step 6: Final answer
    x = 9,385.33

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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.