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Finding the Fourth Proportional to 11,945.85, 16,485.12 and 6,640.65

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Solution

The fourth proportional to 11,945.85, 16,485.12 and 6,640.65 is: 9,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.85 : 16,485.12 = 6,640.65 : x
  2. Step 2: Convert to fraction form
    11,945.85/16,485.12 = 6,640.65/x
  3. Step 3: Cross multiply
    11,945.85x = 16,485.12 × 6,640.65
  4. Step 4: Simplify right side
    11,945.85x = 109,471,912.13
  5. Step 5: Solve for x
    x = 109,471,912.13/11,945.85
  6. Step 6: Final answer
    x = 9,164.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.