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Finding the Fourth Proportional to 11,471.56, 17,209.80 and 3,680.32

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Solution

The fourth proportional to 11,471.56, 17,209.80 and 3,680.32 is: 5,521.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.56 : 17,209.80 = 3,680.32 : x
  2. Step 2: Convert to fraction form
    11,471.56/17,209.80 = 3,680.32/x
  3. Step 3: Cross multiply
    11,471.56x = 17,209.80 × 3,680.32
  4. Step 4: Simplify right side
    11,471.56x = 63,337,571.14
  5. Step 5: Solve for x
    x = 63,337,571.14/11,471.56
  6. Step 6: Final answer
    x = 5,521.27

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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.