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Finding the Fourth Proportional to 8,491.56, 12,742.20 and 3,296.76

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Solution

The fourth proportional to 8,491.56, 12,742.20 and 3,296.76 is: 4,947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.56 : 12,742.20 = 3,296.76 : x
  2. Step 2: Convert to fraction form
    8,491.56/12,742.20 = 3,296.76/x
  3. Step 3: Cross multiply
    8,491.56x = 12,742.20 × 3,296.76
  4. Step 4: Simplify right side
    8,491.56x = 42,007,975.27
  5. Step 5: Solve for x
    x = 42,007,975.27/8,491.56
  6. Step 6: Final answer
    x = 4,947.03

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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.