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Finding the Fourth Proportional to 10,958.72, 16,442.14 and 7,863.44

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Solution

The fourth proportional to 10,958.72, 16,442.14 and 7,863.44 is: 11,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.72 : 16,442.14 = 7,863.44 : x
  2. Step 2: Convert to fraction form
    10,958.72/16,442.14 = 7,863.44/x
  3. Step 3: Cross multiply
    10,958.72x = 16,442.14 × 7,863.44
  4. Step 4: Simplify right side
    10,958.72x = 129,291,781.36
  5. Step 5: Solve for x
    x = 129,291,781.36/10,958.72
  6. Step 6: Final answer
    x = 11,798.07

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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.