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Finding the Fourth Proportional to 8,491.20, 12,739.76 and 3,814.52

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Solution

The fourth proportional to 8,491.20, 12,739.76 and 3,814.52 is: 5,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.20 : 12,739.76 = 3,814.52 : x
  2. Step 2: Convert to fraction form
    8,491.20/12,739.76 = 3,814.52/x
  3. Step 3: Cross multiply
    8,491.20x = 12,739.76 × 3,814.52
  4. Step 4: Simplify right side
    8,491.20x = 48,596,069.32
  5. Step 5: Solve for x
    x = 48,596,069.32/8,491.20
  6. Step 6: Final answer
    x = 5,723.11

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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.