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Finding the Fourth Proportional to 27,700.31, 41,546.81 and 7,711.13

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Solution

The fourth proportional to 27,700.31, 41,546.81 and 7,711.13 is: 11,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.31 : 41,546.81 = 7,711.13 : x
  2. Step 2: Convert to fraction form
    27,700.31/41,546.81 = 7,711.13/x
  3. Step 3: Cross multiply
    27,700.31x = 41,546.81 × 7,711.13
  4. Step 4: Simplify right side
    27,700.31x = 320,372,853.00
  5. Step 5: Solve for x
    x = 320,372,853.00/27,700.31
  6. Step 6: Final answer
    x = 11,565.68

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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.