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Finding the Fourth Proportional to 11,902.58, 17,853.92 and 3,137.27

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Solution

The fourth proportional to 11,902.58, 17,853.92 and 3,137.27 is: 4,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.58 : 17,853.92 = 3,137.27 : x
  2. Step 2: Convert to fraction form
    11,902.58/17,853.92 = 3,137.27/x
  3. Step 3: Cross multiply
    11,902.58x = 17,853.92 × 3,137.27
  4. Step 4: Simplify right side
    11,902.58x = 56,012,474.41
  5. Step 5: Solve for x
    x = 56,012,474.41/11,902.58
  6. Step 6: Final answer
    x = 4,705.91

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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.