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Finding the Fourth Proportional to 27,196.25, 40,795.79 and 7,474.37

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Solution

The fourth proportional to 27,196.25, 40,795.79 and 7,474.37 is: 11,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.25 : 40,795.79 = 7,474.37 : x
  2. Step 2: Convert to fraction form
    27,196.25/40,795.79 = 7,474.37/x
  3. Step 3: Cross multiply
    27,196.25x = 40,795.79 × 7,474.37
  4. Step 4: Simplify right side
    27,196.25x = 304,922,587.55
  5. Step 5: Solve for x
    x = 304,922,587.55/27,196.25
  6. Step 6: Final answer
    x = 11,211.94

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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.