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Finding the Fourth Proportional to 7,644.43, 11,466.17 and 2,713.42

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Solution

The fourth proportional to 7,644.43, 11,466.17 and 2,713.42 is: 4,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.43 : 11,466.17 = 2,713.42 : x
  2. Step 2: Convert to fraction form
    7,644.43/11,466.17 = 2,713.42/x
  3. Step 3: Cross multiply
    7,644.43x = 11,466.17 × 2,713.42
  4. Step 4: Simplify right side
    7,644.43x = 31,112,464.10
  5. Step 5: Solve for x
    x = 31,112,464.10/7,644.43
  6. Step 6: Final answer
    x = 4,069.95

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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.