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Finding the Fourth Proportional to 11,794.60, 17,691.90 and 7,431.40

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Solution

The fourth proportional to 11,794.60, 17,691.90 and 7,431.40 is: 11,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.60 : 17,691.90 = 7,431.40 : x
  2. Step 2: Convert to fraction form
    11,794.60/17,691.90 = 7,431.40/x
  3. Step 3: Cross multiply
    11,794.60x = 17,691.90 × 7,431.40
  4. Step 4: Simplify right side
    11,794.60x = 131,475,585.66
  5. Step 5: Solve for x
    x = 131,475,585.66/11,794.60
  6. Step 6: Final answer
    x = 11,147.10

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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.