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Finding the Fourth Proportional to 11,705.62, 17,557.12 and 2,940.56

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Solution

The fourth proportional to 11,705.62, 17,557.12 and 2,940.56 is: 4,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.62 : 17,557.12 = 2,940.56 : x
  2. Step 2: Convert to fraction form
    11,705.62/17,557.12 = 2,940.56/x
  3. Step 3: Cross multiply
    11,705.62x = 17,557.12 × 2,940.56
  4. Step 4: Simplify right side
    11,705.62x = 51,627,662.30
  5. Step 5: Solve for x
    x = 51,627,662.30/11,705.62
  6. Step 6: Final answer
    x = 4,410.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.