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Finding the Fourth Proportional to 11,071.28, 16,589.62 and 6,958.64

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Solution

The fourth proportional to 11,071.28, 16,589.62 and 6,958.64 is: 10,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.28 : 16,589.62 = 6,958.64 : x
  2. Step 2: Convert to fraction form
    11,071.28/16,589.62 = 6,958.64/x
  3. Step 3: Cross multiply
    11,071.28x = 16,589.62 × 6,958.64
  4. Step 4: Simplify right side
    11,071.28x = 115,441,193.32
  5. Step 5: Solve for x
    x = 115,441,193.32/11,071.28
  6. Step 6: Final answer
    x = 10,427.09

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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.