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Finding the Fourth Proportional to 10,882.32, 16,322.94 and 5,961.57

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Solution

The fourth proportional to 10,882.32, 16,322.94 and 5,961.57 is: 8,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.32 : 16,322.94 = 5,961.57 : x
  2. Step 2: Convert to fraction form
    10,882.32/16,322.94 = 5,961.57/x
  3. Step 3: Cross multiply
    10,882.32x = 16,322.94 × 5,961.57
  4. Step 4: Simplify right side
    10,882.32x = 97,310,349.42
  5. Step 5: Solve for x
    x = 97,310,349.42/10,882.32
  6. Step 6: Final answer
    x = 8,942.06

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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.