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Finding the Fourth Proportional to 10,450.08, 15,682.74 and 7,992

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Solution

The fourth proportional to 10,450.08, 15,682.74 and 7,992 is: 11,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.08 : 15,682.74 = 7,992 : x
  2. Step 2: Convert to fraction form
    10,450.08/15,682.74 = 7,992/x
  3. Step 3: Cross multiply
    10,450.08x = 15,682.74 × 7,992
  4. Step 4: Simplify right side
    10,450.08x = 125,336,458.08
  5. Step 5: Solve for x
    x = 125,336,458.08/10,450.08
  6. Step 6: Final answer
    x = 11,993.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.