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Finding the Fourth Proportional to 8,426.37, 12,642.83 and 3,494.75

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Solution

The fourth proportional to 8,426.37, 12,642.83 and 3,494.75 is: 5,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.37 : 12,642.83 = 3,494.75 : x
  2. Step 2: Convert to fraction form
    8,426.37/12,642.83 = 3,494.75/x
  3. Step 3: Cross multiply
    8,426.37x = 12,642.83 × 3,494.75
  4. Step 4: Simplify right side
    8,426.37x = 44,183,530.14
  5. Step 5: Solve for x
    x = 44,183,530.14/8,426.37
  6. Step 6: Final answer
    x = 5,243.48

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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.