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Finding the Fourth Proportional to 7,696.38, 11,542.92 and 2,431.81

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Solution

The fourth proportional to 7,696.38, 11,542.92 and 2,431.81 is: 3,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.38 : 11,542.92 = 2,431.81 : x
  2. Step 2: Convert to fraction form
    7,696.38/11,542.92 = 2,431.81/x
  3. Step 3: Cross multiply
    7,696.38x = 11,542.92 × 2,431.81
  4. Step 4: Simplify right side
    7,696.38x = 28,070,188.29
  5. Step 5: Solve for x
    x = 28,070,188.29/7,696.38
  6. Step 6: Final answer
    x = 3,647.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.