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Finding the Fourth Proportional to 11,145.96, 16,720.56 and 5,949

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Solution

The fourth proportional to 11,145.96, 16,720.56 and 5,949 is: 8,924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.96 : 16,720.56 = 5,949 : x
  2. Step 2: Convert to fraction form
    11,145.96/16,720.56 = 5,949/x
  3. Step 3: Cross multiply
    11,145.96x = 16,720.56 × 5,949
  4. Step 4: Simplify right side
    11,145.96x = 99,470,611.44
  5. Step 5: Solve for x
    x = 99,470,611.44/11,145.96
  6. Step 6: Final answer
    x = 8,924.36

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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.