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Finding the Fourth Proportional to 10,884.24, 16,311.24 and 5,679.72

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Solution

The fourth proportional to 10,884.24, 16,311.24 and 5,679.72 is: 8,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.24 : 16,311.24 = 5,679.72 : x
  2. Step 2: Convert to fraction form
    10,884.24/16,311.24 = 5,679.72/x
  3. Step 3: Cross multiply
    10,884.24x = 16,311.24 × 5,679.72
  4. Step 4: Simplify right side
    10,884.24x = 92,643,276.05
  5. Step 5: Solve for x
    x = 92,643,276.05/10,884.24
  6. Step 6: Final answer
    x = 8,511.69

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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.