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Finding the Fourth Proportional to 27,633.78, 41,438.49 and 7,907.86

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Solution

The fourth proportional to 27,633.78, 41,438.49 and 7,907.86 is: 11,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.78 : 41,438.49 = 7,907.86 : x
  2. Step 2: Convert to fraction form
    27,633.78/41,438.49 = 7,907.86/x
  3. Step 3: Cross multiply
    27,633.78x = 41,438.49 × 7,907.86
  4. Step 4: Simplify right side
    27,633.78x = 327,689,777.53
  5. Step 5: Solve for x
    x = 327,689,777.53/27,633.78
  6. Step 6: Final answer
    x = 11,858.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.