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Finding the Fourth Proportional to 7,206.27, 10,814.26 and 2,823.18

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Solution

The fourth proportional to 7,206.27, 10,814.26 and 2,823.18 is: 4,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.27 : 10,814.26 = 2,823.18 : x
  2. Step 2: Convert to fraction form
    7,206.27/10,814.26 = 2,823.18/x
  3. Step 3: Cross multiply
    7,206.27x = 10,814.26 × 2,823.18
  4. Step 4: Simplify right side
    7,206.27x = 30,530,602.55
  5. Step 5: Solve for x
    x = 30,530,602.55/7,206.27
  6. Step 6: Final answer
    x = 4,236.67

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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.