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Finding the Fourth Proportional to 11,464.70, 17,194.16 and 4,442.30

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Solution

The fourth proportional to 11,464.70, 17,194.16 and 4,442.30 is: 6,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.70 : 17,194.16 = 4,442.30 : x
  2. Step 2: Convert to fraction form
    11,464.70/17,194.16 = 4,442.30/x
  3. Step 3: Cross multiply
    11,464.70x = 17,194.16 × 4,442.30
  4. Step 4: Simplify right side
    11,464.70x = 76,381,581.59
  5. Step 5: Solve for x
    x = 76,381,581.59/11,464.70
  6. Step 6: Final answer
    x = 6,662.33

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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.