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Finding the Fourth Proportional to 12,384.38, 17,091.52 and 6,796.46

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Solution

The fourth proportional to 12,384.38, 17,091.52 and 6,796.46 is: 9,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.38 : 17,091.52 = 6,796.46 : x
  2. Step 2: Convert to fraction form
    12,384.38/17,091.52 = 6,796.46/x
  3. Step 3: Cross multiply
    12,384.38x = 17,091.52 × 6,796.46
  4. Step 4: Simplify right side
    12,384.38x = 116,161,832.02
  5. Step 5: Solve for x
    x = 116,161,832.02/12,384.38
  6. Step 6: Final answer
    x = 9,379.71

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Why These Related Problems?

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