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Finding the Fourth Proportional to 8,114.94, 12,171.72 and 2,568.44

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Solution

The fourth proportional to 8,114.94, 12,171.72 and 2,568.44 is: 3,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.94 : 12,171.72 = 2,568.44 : x
  2. Step 2: Convert to fraction form
    8,114.94/12,171.72 = 2,568.44/x
  3. Step 3: Cross multiply
    8,114.94x = 12,171.72 × 2,568.44
  4. Step 4: Simplify right side
    8,114.94x = 31,262,332.52
  5. Step 5: Solve for x
    x = 31,262,332.52/8,114.94
  6. Step 6: Final answer
    x = 3,852.44

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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.