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Finding the Fourth Proportional to 11,894.82, 17,850.42 and 4,103.64

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Solution

The fourth proportional to 11,894.82, 17,850.42 and 4,103.64 is: 6,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.82 : 17,850.42 = 4,103.64 : x
  2. Step 2: Convert to fraction form
    11,894.82/17,850.42 = 4,103.64/x
  3. Step 3: Cross multiply
    11,894.82x = 17,850.42 × 4,103.64
  4. Step 4: Simplify right side
    11,894.82x = 73,251,697.53
  5. Step 5: Solve for x
    x = 73,251,697.53/11,894.82
  6. Step 6: Final answer
    x = 6,158.29

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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.