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Finding the Fourth Proportional to 11,657.87, 17,481.65 and 3,335.99

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Solution

The fourth proportional to 11,657.87, 17,481.65 and 3,335.99 is: 5,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.87 : 17,481.65 = 3,335.99 : x
  2. Step 2: Convert to fraction form
    11,657.87/17,481.65 = 3,335.99/x
  3. Step 3: Cross multiply
    11,657.87x = 17,481.65 × 3,335.99
  4. Step 4: Simplify right side
    11,657.87x = 58,318,530.52
  5. Step 5: Solve for x
    x = 58,318,530.52/11,657.87
  6. Step 6: Final answer
    x = 5,002.51

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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.