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Finding the Fourth Proportional to 10,728.82, 16,071.09 and 7,958.62

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Solution

The fourth proportional to 10,728.82, 16,071.09 and 7,958.62 is: 11,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.82 : 16,071.09 = 7,958.62 : x
  2. Step 2: Convert to fraction form
    10,728.82/16,071.09 = 7,958.62/x
  3. Step 3: Cross multiply
    10,728.82x = 16,071.09 × 7,958.62
  4. Step 4: Simplify right side
    10,728.82x = 127,903,698.30
  5. Step 5: Solve for x
    x = 127,903,698.30/10,728.82
  6. Step 6: Final answer
    x = 11,921.51

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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.