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Finding the Fourth Proportional to 11,873.64, 16,382.97 and 7,092.30

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Solution

The fourth proportional to 11,873.64, 16,382.97 and 7,092.30 is: 9,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.64 : 16,382.97 = 7,092.30 : x
  2. Step 2: Convert to fraction form
    11,873.64/16,382.97 = 7,092.30/x
  3. Step 3: Cross multiply
    11,873.64x = 16,382.97 × 7,092.30
  4. Step 4: Simplify right side
    11,873.64x = 116,192,938.13
  5. Step 5: Solve for x
    x = 116,192,938.13/11,873.64
  6. Step 6: Final answer
    x = 9,785.79

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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.