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Finding the Fourth Proportional to 10,882.58, 16,302.01 and 5,677.52

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Solution

The fourth proportional to 10,882.58, 16,302.01 and 5,677.52 is: 8,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.58 : 16,302.01 = 5,677.52 : x
  2. Step 2: Convert to fraction form
    10,882.58/16,302.01 = 5,677.52/x
  3. Step 3: Cross multiply
    10,882.58x = 16,302.01 × 5,677.52
  4. Step 4: Simplify right side
    10,882.58x = 92,555,034.30
  5. Step 5: Solve for x
    x = 92,555,034.30/10,882.58
  6. Step 6: Final answer
    x = 8,504.88

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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.