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Finding the Fourth Proportional to 27,712.32, 41,563.49 and 7,986.03

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Solution

The fourth proportional to 27,712.32, 41,563.49 and 7,986.03 is: 11,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.32 : 41,563.49 = 7,986.03 : x
  2. Step 2: Convert to fraction form
    27,712.32/41,563.49 = 7,986.03/x
  3. Step 3: Cross multiply
    27,712.32x = 41,563.49 × 7,986.03
  4. Step 4: Simplify right side
    27,712.32x = 331,927,238.11
  5. Step 5: Solve for x
    x = 331,927,238.11/27,712.32
  6. Step 6: Final answer
    x = 11,977.61

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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.