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Finding the Fourth Proportional to 8,159.94, 12,231.37 and 3,418.81

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Solution

The fourth proportional to 8,159.94, 12,231.37 and 3,418.81 is: 5,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.94 : 12,231.37 = 3,418.81 : x
  2. Step 2: Convert to fraction form
    8,159.94/12,231.37 = 3,418.81/x
  3. Step 3: Cross multiply
    8,159.94x = 12,231.37 × 3,418.81
  4. Step 4: Simplify right side
    8,159.94x = 41,816,730.07
  5. Step 5: Solve for x
    x = 41,816,730.07/8,159.94
  6. Step 6: Final answer
    x = 5,124.64

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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.