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Finding the Fourth Proportional to 11,584.50, 15,974.58 and 9,911.44

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Solution

The fourth proportional to 11,584.50, 15,974.58 and 9,911.44 is: 13,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.50 : 15,974.58 = 9,911.44 : x
  2. Step 2: Convert to fraction form
    11,584.50/15,974.58 = 9,911.44/x
  3. Step 3: Cross multiply
    11,584.50x = 15,974.58 × 9,911.44
  4. Step 4: Simplify right side
    11,584.50x = 158,331,091.20
  5. Step 5: Solve for x
    x = 158,331,091.20/11,584.50
  6. Step 6: Final answer
    x = 13,667.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.