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Finding the Fourth Proportional to 11,894.81, 17,850.42 and 4,103.63

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Solution

The fourth proportional to 11,894.81, 17,850.42 and 4,103.63 is: 6,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.81 : 17,850.42 = 4,103.63 : x
  2. Step 2: Convert to fraction form
    11,894.81/17,850.42 = 4,103.63/x
  3. Step 3: Cross multiply
    11,894.81x = 17,850.42 × 4,103.63
  4. Step 4: Simplify right side
    11,894.81x = 73,251,519.02
  5. Step 5: Solve for x
    x = 73,251,519.02/11,894.81
  6. Step 6: Final answer
    x = 6,158.28

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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.