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Finding the Fourth Proportional to 11,191.50, 16,790.91 and 3,400.32

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Solution

The fourth proportional to 11,191.50, 16,790.91 and 3,400.32 is: 5,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.50 : 16,790.91 = 3,400.32 : x
  2. Step 2: Convert to fraction form
    11,191.50/16,790.91 = 3,400.32/x
  3. Step 3: Cross multiply
    11,191.50x = 16,790.91 × 3,400.32
  4. Step 4: Simplify right side
    11,191.50x = 57,094,467.09
  5. Step 5: Solve for x
    x = 57,094,467.09/11,191.50
  6. Step 6: Final answer
    x = 5,101.59

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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.