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Finding the Fourth Proportional to 10,205.36, 15,311.92 and 5,271.92

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Solution

The fourth proportional to 10,205.36, 15,311.92 and 5,271.92 is: 7,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.36 : 15,311.92 = 5,271.92 : x
  2. Step 2: Convert to fraction form
    10,205.36/15,311.92 = 5,271.92/x
  3. Step 3: Cross multiply
    10,205.36x = 15,311.92 × 5,271.92
  4. Step 4: Simplify right side
    10,205.36x = 80,723,217.29
  5. Step 5: Solve for x
    x = 80,723,217.29/10,205.36
  6. Step 6: Final answer
    x = 7,909.88

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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.