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Finding the Fourth Proportional to 11,616.64, 17,427.66 and 3,825.52

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Solution

The fourth proportional to 11,616.64, 17,427.66 and 3,825.52 is: 5,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.64 : 17,427.66 = 3,825.52 : x
  2. Step 2: Convert to fraction form
    11,616.64/17,427.66 = 3,825.52/x
  3. Step 3: Cross multiply
    11,616.64x = 17,427.66 × 3,825.52
  4. Step 4: Simplify right side
    11,616.64x = 66,669,861.88
  5. Step 5: Solve for x
    x = 66,669,861.88/11,616.64
  6. Step 6: Final answer
    x = 5,739.17

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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.