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Finding the Fourth Proportional to 11,902.18, 17,853 and 4,110.26

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Solution

The fourth proportional to 11,902.18, 17,853 and 4,110.26 is: 6,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.18 : 17,853 = 4,110.26 : x
  2. Step 2: Convert to fraction form
    11,902.18/17,853 = 4,110.26/x
  3. Step 3: Cross multiply
    11,902.18x = 17,853 × 4,110.26
  4. Step 4: Simplify right side
    11,902.18x = 73,380,471.78
  5. Step 5: Solve for x
    x = 73,380,471.78/11,902.18
  6. Step 6: Final answer
    x = 6,165.30

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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.