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Finding the Fourth Proportional to 8,126.58, 12,188.79 and 3,194.90

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Solution

The fourth proportional to 8,126.58, 12,188.79 and 3,194.90 is: 4,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.58 : 12,188.79 = 3,194.90 : x
  2. Step 2: Convert to fraction form
    8,126.58/12,188.79 = 3,194.90/x
  3. Step 3: Cross multiply
    8,126.58x = 12,188.79 × 3,194.90
  4. Step 4: Simplify right side
    8,126.58x = 38,941,904.23
  5. Step 5: Solve for x
    x = 38,941,904.23/8,126.58
  6. Step 6: Final answer
    x = 4,791.92

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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.