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Finding the Fourth Proportional to 11,957.56, 16,504.36 and 8,182.15

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Solution

The fourth proportional to 11,957.56, 16,504.36 and 8,182.15 is: 11,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.56 : 16,504.36 = 8,182.15 : x
  2. Step 2: Convert to fraction form
    11,957.56/16,504.36 = 8,182.15/x
  3. Step 3: Cross multiply
    11,957.56x = 16,504.36 × 8,182.15
  4. Step 4: Simplify right side
    11,957.56x = 135,041,087.46
  5. Step 5: Solve for x
    x = 135,041,087.46/11,957.56
  6. Step 6: Final answer
    x = 11,293.37

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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.