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Finding the Fourth Proportional to 11,446.90, 17,174.60 and 3,656.32

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Solution

The fourth proportional to 11,446.90, 17,174.60 and 3,656.32 is: 5,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.90 : 17,174.60 = 3,656.32 : x
  2. Step 2: Convert to fraction form
    11,446.90/17,174.60 = 3,656.32/x
  3. Step 3: Cross multiply
    11,446.90x = 17,174.60 × 3,656.32
  4. Step 4: Simplify right side
    11,446.90x = 62,795,785.97
  5. Step 5: Solve for x
    x = 62,795,785.97/11,446.90
  6. Step 6: Final answer
    x = 5,485.83

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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.