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Finding the Fourth Proportional to 27,474.76, 41,211.42 and 7,754.68

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Solution

The fourth proportional to 27,474.76, 41,211.42 and 7,754.68 is: 11,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.76 : 41,211.42 = 7,754.68 : x
  2. Step 2: Convert to fraction form
    27,474.76/41,211.42 = 7,754.68/x
  3. Step 3: Cross multiply
    27,474.76x = 41,211.42 × 7,754.68
  4. Step 4: Simplify right side
    27,474.76x = 319,581,374.45
  5. Step 5: Solve for x
    x = 319,581,374.45/27,474.76
  6. Step 6: Final answer
    x = 11,631.82

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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.