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Finding the Fourth Proportional to 11,410.36, 17,115.99 and 9,202.25

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Solution

The fourth proportional to 11,410.36, 17,115.99 and 9,202.25 is: 13,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.36 : 17,115.99 = 9,202.25 : x
  2. Step 2: Convert to fraction form
    11,410.36/17,115.99 = 9,202.25/x
  3. Step 3: Cross multiply
    11,410.36x = 17,115.99 × 9,202.25
  4. Step 4: Simplify right side
    11,410.36x = 157,505,618.98
  5. Step 5: Solve for x
    x = 157,505,618.98/11,410.36
  6. Step 6: Final answer
    x = 13,803.74

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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.