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Finding the Fourth Proportional to 10,861.20, 16,311.60 and 6,487.20

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Solution

The fourth proportional to 10,861.20, 16,311.60 and 6,487.20 is: 9,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.20 : 16,311.60 = 6,487.20 : x
  2. Step 2: Convert to fraction form
    10,861.20/16,311.60 = 6,487.20/x
  3. Step 3: Cross multiply
    10,861.20x = 16,311.60 × 6,487.20
  4. Step 4: Simplify right side
    10,861.20x = 105,816,611.52
  5. Step 5: Solve for x
    x = 105,816,611.52/10,861.20
  6. Step 6: Final answer
    x = 9,742.63

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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.