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Finding the Fourth Proportional to 27,589.04, 41,383.94 and 7,867.60

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Solution

The fourth proportional to 27,589.04, 41,383.94 and 7,867.60 is: 11,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589.04 : 41,383.94 = 7,867.60 : x
  2. Step 2: Convert to fraction form
    27,589.04/41,383.94 = 7,867.60/x
  3. Step 3: Cross multiply
    27,589.04x = 41,383.94 × 7,867.60
  4. Step 4: Simplify right side
    27,589.04x = 325,592,202.55
  5. Step 5: Solve for x
    x = 325,592,202.55/27,589.04
  6. Step 6: Final answer
    x = 11,801.50

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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.