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Finding the Fourth Proportional to 27,164.67, 40,747.02 and 7,443.37

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Solution

The fourth proportional to 27,164.67, 40,747.02 and 7,443.37 is: 11,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.67 : 40,747.02 = 7,443.37 : x
  2. Step 2: Convert to fraction form
    27,164.67/40,747.02 = 7,443.37/x
  3. Step 3: Cross multiply
    27,164.67x = 40,747.02 × 7,443.37
  4. Step 4: Simplify right side
    27,164.67x = 303,295,146.26
  5. Step 5: Solve for x
    x = 303,295,146.26/27,164.67
  6. Step 6: Final answer
    x = 11,165.06

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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.