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Finding the Fourth Proportional to 8,491.32, 12,739.41 and 2,568

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Solution

The fourth proportional to 8,491.32, 12,739.41 and 2,568 is: 3,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.32 : 12,739.41 = 2,568 : x
  2. Step 2: Convert to fraction form
    8,491.32/12,739.41 = 2,568/x
  3. Step 3: Cross multiply
    8,491.32x = 12,739.41 × 2,568
  4. Step 4: Simplify right side
    8,491.32x = 32,714,804.88
  5. Step 5: Solve for x
    x = 32,714,804.88/8,491.32
  6. Step 6: Final answer
    x = 3,852.73

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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.