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Finding the Fourth Proportional to 27,581.26, 41,372.12 and 7,859.99

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Solution

The fourth proportional to 27,581.26, 41,372.12 and 7,859.99 is: 11,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,581.26 : 41,372.12 = 7,859.99 : x
  2. Step 2: Convert to fraction form
    27,581.26/41,372.12 = 7,859.99/x
  3. Step 3: Cross multiply
    27,581.26x = 41,372.12 × 7,859.99
  4. Step 4: Simplify right side
    27,581.26x = 325,184,295.63
  5. Step 5: Solve for x
    x = 325,184,295.63/27,581.26
  6. Step 6: Final answer
    x = 11,790.05

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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.