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Finding the Fourth Proportional to 11,902.35, 17,837.98 and 6,637.15

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Solution

The fourth proportional to 11,902.35, 17,837.98 and 6,637.15 is: 9,947.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.35 : 17,837.98 = 6,637.15 : x
  2. Step 2: Convert to fraction form
    11,902.35/17,837.98 = 6,637.15/x
  3. Step 3: Cross multiply
    11,902.35x = 17,837.98 × 6,637.15
  4. Step 4: Simplify right side
    11,902.35x = 118,393,348.96
  5. Step 5: Solve for x
    x = 118,393,348.96/11,902.35
  6. Step 6: Final answer
    x = 9,947.06

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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.