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Finding the Fourth Proportional to 11,732.63, 16,191.49 and 6,696.89

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Solution

The fourth proportional to 11,732.63, 16,191.49 and 6,696.89 is: 9,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.63 : 16,191.49 = 6,696.89 : x
  2. Step 2: Convert to fraction form
    11,732.63/16,191.49 = 6,696.89/x
  3. Step 3: Cross multiply
    11,732.63x = 16,191.49 × 6,696.89
  4. Step 4: Simplify right side
    11,732.63x = 108,432,621.10
  5. Step 5: Solve for x
    x = 108,432,621.10/11,732.63
  6. Step 6: Final answer
    x = 9,241.97

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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.