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Finding the Fourth Proportional to 11,231.53, 16,847.30 and 6,304.63

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Solution

The fourth proportional to 11,231.53, 16,847.30 and 6,304.63 is: 9,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.53 : 16,847.30 = 6,304.63 : x
  2. Step 2: Convert to fraction form
    11,231.53/16,847.30 = 6,304.63/x
  3. Step 3: Cross multiply
    11,231.53x = 16,847.30 × 6,304.63
  4. Step 4: Simplify right side
    11,231.53x = 106,215,993.00
  5. Step 5: Solve for x
    x = 106,215,993.00/11,231.53
  6. Step 6: Final answer
    x = 9,456.95

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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.