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Finding the Fourth Proportional to 11,954.60, 17,930.46 and 3,190.16

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Solution

The fourth proportional to 11,954.60, 17,930.46 and 3,190.16 is: 4,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.60 : 17,930.46 = 3,190.16 : x
  2. Step 2: Convert to fraction form
    11,954.60/17,930.46 = 3,190.16/x
  3. Step 3: Cross multiply
    11,954.60x = 17,930.46 × 3,190.16
  4. Step 4: Simplify right side
    11,954.60x = 57,201,036.27
  5. Step 5: Solve for x
    x = 57,201,036.27/11,954.60
  6. Step 6: Final answer
    x = 4,784.86

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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.