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Finding the Fourth Proportional to 27,473, 41,205.81 and 7,753.14

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Solution

The fourth proportional to 27,473, 41,205.81 and 7,753.14 is: 11,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473 : 41,205.81 = 7,753.14 : x
  2. Step 2: Convert to fraction form
    27,473/41,205.81 = 7,753.14/x
  3. Step 3: Cross multiply
    27,473x = 41,205.81 × 7,753.14
  4. Step 4: Simplify right side
    27,473x = 319,474,413.74
  5. Step 5: Solve for x
    x = 319,474,413.74/27,473
  6. Step 6: Final answer
    x = 11,628.67

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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.