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Finding the Fourth Proportional to 8,133.42, 12,198.69 and 2,288.64

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Solution

The fourth proportional to 8,133.42, 12,198.69 and 2,288.64 is: 3,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.42 : 12,198.69 = 2,288.64 : x
  2. Step 2: Convert to fraction form
    8,133.42/12,198.69 = 2,288.64/x
  3. Step 3: Cross multiply
    8,133.42x = 12,198.69 × 2,288.64
  4. Step 4: Simplify right side
    8,133.42x = 27,918,409.88
  5. Step 5: Solve for x
    x = 27,918,409.88/8,133.42
  6. Step 6: Final answer
    x = 3,432.55

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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.