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Finding the Fourth Proportional to 11,474.92, 17,208.78 and 3,682

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Solution

The fourth proportional to 11,474.92, 17,208.78 and 3,682 is: 5,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.92 : 17,208.78 = 3,682 : x
  2. Step 2: Convert to fraction form
    11,474.92/17,208.78 = 3,682/x
  3. Step 3: Cross multiply
    11,474.92x = 17,208.78 × 3,682
  4. Step 4: Simplify right side
    11,474.92x = 63,362,727.96
  5. Step 5: Solve for x
    x = 63,362,727.96/11,474.92
  6. Step 6: Final answer
    x = 5,521.84

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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.