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Finding the Fourth Proportional to 7,689.49, 11,540.34 and 3,531.42

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Solution

The fourth proportional to 7,689.49, 11,540.34 and 3,531.42 is: 5,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.49 : 11,540.34 = 3,531.42 : x
  2. Step 2: Convert to fraction form
    7,689.49/11,540.34 = 3,531.42/x
  3. Step 3: Cross multiply
    7,689.49x = 11,540.34 × 3,531.42
  4. Step 4: Simplify right side
    7,689.49x = 40,753,787.48
  5. Step 5: Solve for x
    x = 40,753,787.48/7,689.49
  6. Step 6: Final answer
    x = 5,299.94

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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.