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Finding the Fourth Proportional to 8,435.29, 12,649.83 and 2,811.91

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Solution

The fourth proportional to 8,435.29, 12,649.83 and 2,811.91 is: 4,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.29 : 12,649.83 = 2,811.91 : x
  2. Step 2: Convert to fraction form
    8,435.29/12,649.83 = 2,811.91/x
  3. Step 3: Cross multiply
    8,435.29x = 12,649.83 × 2,811.91
  4. Step 4: Simplify right side
    8,435.29x = 35,570,183.48
  5. Step 5: Solve for x
    x = 35,570,183.48/8,435.29
  6. Step 6: Final answer
    x = 4,216.83

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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.