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Finding the Fourth Proportional to 11,441.92, 17,160.96 and 3,232

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Solution

The fourth proportional to 11,441.92, 17,160.96 and 3,232 is: 4,847.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.92 : 17,160.96 = 3,232 : x
  2. Step 2: Convert to fraction form
    11,441.92/17,160.96 = 3,232/x
  3. Step 3: Cross multiply
    11,441.92x = 17,160.96 × 3,232
  4. Step 4: Simplify right side
    11,441.92x = 55,464,222.72
  5. Step 5: Solve for x
    x = 55,464,222.72/11,441.92
  6. Step 6: Final answer
    x = 4,847.46

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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.