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Finding the Fourth Proportional to 27,588.56, 41,383.22 and 7,867.11

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Solution

The fourth proportional to 27,588.56, 41,383.22 and 7,867.11 is: 11,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588.56 : 41,383.22 = 7,867.11 : x
  2. Step 2: Convert to fraction form
    27,588.56/41,383.22 = 7,867.11/x
  3. Step 3: Cross multiply
    27,588.56x = 41,383.22 × 7,867.11
  4. Step 4: Simplify right side
    27,588.56x = 325,566,304.56
  5. Step 5: Solve for x
    x = 325,566,304.56/27,588.56
  6. Step 6: Final answer
    x = 11,800.77

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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.