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Finding the Fourth Proportional to 10,882.80, 16,321.86 and 5,033.88

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Solution

The fourth proportional to 10,882.80, 16,321.86 and 5,033.88 is: 7,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.80 : 16,321.86 = 5,033.88 : x
  2. Step 2: Convert to fraction form
    10,882.80/16,321.86 = 5,033.88/x
  3. Step 3: Cross multiply
    10,882.80x = 16,321.86 × 5,033.88
  4. Step 4: Simplify right side
    10,882.80x = 82,162,284.62
  5. Step 5: Solve for x
    x = 82,162,284.62/10,882.80
  6. Step 6: Final answer
    x = 7,549.74

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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.