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Finding the Fourth Proportional to 11,902.44, 17,854.40 and 3,137.36

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Solution

The fourth proportional to 11,902.44, 17,854.40 and 3,137.36 is: 4,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.44 : 17,854.40 = 3,137.36 : x
  2. Step 2: Convert to fraction form
    11,902.44/17,854.40 = 3,137.36/x
  3. Step 3: Cross multiply
    11,902.44x = 17,854.40 × 3,137.36
  4. Step 4: Simplify right side
    11,902.44x = 56,015,640.35
  5. Step 5: Solve for x
    x = 56,015,640.35/11,902.44
  6. Step 6: Final answer
    x = 4,706.23

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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.