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Finding the Fourth Proportional to 8,123.44, 12,185.40 and 3,194.32

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Solution

The fourth proportional to 8,123.44, 12,185.40 and 3,194.32 is: 4,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.44 : 12,185.40 = 3,194.32 : x
  2. Step 2: Convert to fraction form
    8,123.44/12,185.40 = 3,194.32/x
  3. Step 3: Cross multiply
    8,123.44x = 12,185.40 × 3,194.32
  4. Step 4: Simplify right side
    8,123.44x = 38,924,066.93
  5. Step 5: Solve for x
    x = 38,924,066.93/8,123.44
  6. Step 6: Final answer
    x = 4,791.57

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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.