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Finding the Fourth Proportional to 11,464.64, 17,194.07 and 4,442.24

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Solution

The fourth proportional to 11,464.64, 17,194.07 and 4,442.24 is: 6,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.64 : 17,194.07 = 4,442.24 : x
  2. Step 2: Convert to fraction form
    11,464.64/17,194.07 = 4,442.24/x
  3. Step 3: Cross multiply
    11,464.64x = 17,194.07 × 4,442.24
  4. Step 4: Simplify right side
    11,464.64x = 76,380,077.34
  5. Step 5: Solve for x
    x = 76,380,077.34/11,464.64
  6. Step 6: Final answer
    x = 6,662.23

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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.