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Finding the Fourth Proportional to 8,294.30, 11,446.41 and 4,517.27

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Solution

The fourth proportional to 8,294.30, 11,446.41 and 4,517.27 is: 6,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.30 : 11,446.41 = 4,517.27 : x
  2. Step 2: Convert to fraction form
    8,294.30/11,446.41 = 4,517.27/x
  3. Step 3: Cross multiply
    8,294.30x = 11,446.41 × 4,517.27
  4. Step 4: Simplify right side
    8,294.30x = 51,706,527.13
  5. Step 5: Solve for x
    x = 51,706,527.13/8,294.30
  6. Step 6: Final answer
    x = 6,233.98

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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.