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Finding the Fourth Proportional to 27,372.83, 41,059.25 and 6,596.33

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Solution

The fourth proportional to 27,372.83, 41,059.25 and 6,596.33 is: 9,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,372.83 : 41,059.25 = 6,596.33 : x
  2. Step 2: Convert to fraction form
    27,372.83/41,059.25 = 6,596.33/x
  3. Step 3: Cross multiply
    27,372.83x = 41,059.25 × 6,596.33
  4. Step 4: Simplify right side
    27,372.83x = 270,840,329.57
  5. Step 5: Solve for x
    x = 270,840,329.57/27,372.83
  6. Step 6: Final answer
    x = 9,894.50

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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.