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Finding the Fourth Proportional to 11,833.65, 17,751.49 and 3,400.20

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Solution

The fourth proportional to 11,833.65, 17,751.49 and 3,400.20 is: 5,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.65 : 17,751.49 = 3,400.20 : x
  2. Step 2: Convert to fraction form
    11,833.65/17,751.49 = 3,400.20/x
  3. Step 3: Cross multiply
    11,833.65x = 17,751.49 × 3,400.20
  4. Step 4: Simplify right side
    11,833.65x = 60,358,616.30
  5. Step 5: Solve for x
    x = 60,358,616.30/11,833.65
  6. Step 6: Final answer
    x = 5,100.59

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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.