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Finding the Fourth Proportional to 10,882.68, 16,331.31 and 6,989.82

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Solution

The fourth proportional to 10,882.68, 16,331.31 and 6,989.82 is: 10,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.68 : 16,331.31 = 6,989.82 : x
  2. Step 2: Convert to fraction form
    10,882.68/16,331.31 = 6,989.82/x
  3. Step 3: Cross multiply
    10,882.68x = 16,331.31 × 6,989.82
  4. Step 4: Simplify right side
    10,882.68x = 114,152,917.26
  5. Step 5: Solve for x
    x = 114,152,917.26/10,882.68
  6. Step 6: Final answer
    x = 10,489.41

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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.