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Finding the Fourth Proportional to 27,593.01, 41,391.09 and 7,870.05

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Solution

The fourth proportional to 27,593.01, 41,391.09 and 7,870.05 is: 11,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,593.01 : 41,391.09 = 7,870.05 : x
  2. Step 2: Convert to fraction form
    27,593.01/41,391.09 = 7,870.05/x
  3. Step 3: Cross multiply
    27,593.01x = 41,391.09 × 7,870.05
  4. Step 4: Simplify right side
    27,593.01x = 325,749,947.85
  5. Step 5: Solve for x
    x = 325,749,947.85/27,593.01
  6. Step 6: Final answer
    x = 11,805.52

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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.