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Finding the Fourth Proportional to 27,965.36, 41,947.02 and 6,905.24

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Solution

The fourth proportional to 27,965.36, 41,947.02 and 6,905.24 is: 10,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.36 : 41,947.02 = 6,905.24 : x
  2. Step 2: Convert to fraction form
    27,965.36/41,947.02 = 6,905.24/x
  3. Step 3: Cross multiply
    27,965.36x = 41,947.02 × 6,905.24
  4. Step 4: Simplify right side
    27,965.36x = 289,654,240.38
  5. Step 5: Solve for x
    x = 289,654,240.38/27,965.36
  6. Step 6: Final answer
    x = 10,357.61

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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.