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Finding the Fourth Proportional to 27,977.38, 41,965.66 and 6,917.65

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Solution

The fourth proportional to 27,977.38, 41,965.66 and 6,917.65 is: 10,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.38 : 41,965.66 = 6,917.65 : x
  2. Step 2: Convert to fraction form
    27,977.38/41,965.66 = 6,917.65/x
  3. Step 3: Cross multiply
    27,977.38x = 41,965.66 × 6,917.65
  4. Step 4: Simplify right side
    27,977.38x = 290,303,747.90
  5. Step 5: Solve for x
    x = 290,303,747.90/27,977.38
  6. Step 6: Final answer
    x = 10,376.37

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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.