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Finding the Fourth Proportional to 11,882.31, 16,397.73 and 6,504.99

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Solution

The fourth proportional to 11,882.31, 16,397.73 and 6,504.99 is: 8,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.31 : 16,397.73 = 6,504.99 : x
  2. Step 2: Convert to fraction form
    11,882.31/16,397.73 = 6,504.99/x
  3. Step 3: Cross multiply
    11,882.31x = 16,397.73 × 6,504.99
  4. Step 4: Simplify right side
    11,882.31x = 106,667,069.67
  5. Step 5: Solve for x
    x = 106,667,069.67/11,882.31
  6. Step 6: Final answer
    x = 8,976.96

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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.