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Finding the Fourth Proportional to 11,705.87, 17,557.49 and 2,940.80

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Solution

The fourth proportional to 11,705.87, 17,557.49 and 2,940.80 is: 4,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.87 : 17,557.49 = 2,940.80 : x
  2. Step 2: Convert to fraction form
    11,705.87/17,557.49 = 2,940.80/x
  3. Step 3: Cross multiply
    11,705.87x = 17,557.49 × 2,940.80
  4. Step 4: Simplify right side
    11,705.87x = 51,633,117.84
  5. Step 5: Solve for x
    x = 51,633,117.84/11,705.87
  6. Step 6: Final answer
    x = 4,410.88

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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.