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Finding the Fourth Proportional to 11,867.08, 17,778.78 and 7,474.12

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Solution

The fourth proportional to 11,867.08, 17,778.78 and 7,474.12 is: 11,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.08 : 17,778.78 = 7,474.12 : x
  2. Step 2: Convert to fraction form
    11,867.08/17,778.78 = 7,474.12/x
  3. Step 3: Cross multiply
    11,867.08x = 17,778.78 × 7,474.12
  4. Step 4: Simplify right side
    11,867.08x = 132,880,735.17
  5. Step 5: Solve for x
    x = 132,880,735.17/11,867.08
  6. Step 6: Final answer
    x = 11,197.42

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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.