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Finding the Fourth Proportional to 27,198.08, 40,792.50 and 7,472

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Solution

The fourth proportional to 27,198.08, 40,792.50 and 7,472 is: 11,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198.08 : 40,792.50 = 7,472 : x
  2. Step 2: Convert to fraction form
    27,198.08/40,792.50 = 7,472/x
  3. Step 3: Cross multiply
    27,198.08x = 40,792.50 × 7,472
  4. Step 4: Simplify right side
    27,198.08x = 304,801,560
  5. Step 5: Solve for x
    x = 304,801,560/27,198.08
  6. Step 6: Final answer
    x = 11,206.73

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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.