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Finding the Fourth Proportional to 11,908.42, 17,865.36 and 4,117.23

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Solution

The fourth proportional to 11,908.42, 17,865.36 and 4,117.23 is: 6,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.42 : 17,865.36 = 4,117.23 : x
  2. Step 2: Convert to fraction form
    11,908.42/17,865.36 = 4,117.23/x
  3. Step 3: Cross multiply
    11,908.42x = 17,865.36 × 4,117.23
  4. Step 4: Simplify right side
    11,908.42x = 73,555,796.15
  5. Step 5: Solve for x
    x = 73,555,796.15/11,908.42
  6. Step 6: Final answer
    x = 6,176.79

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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.