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Finding the Fourth Proportional to 11,538.54, 17,290.19 and 5,993.68

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Solution

The fourth proportional to 11,538.54, 17,290.19 and 5,993.68 is: 8,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.54 : 17,290.19 = 5,993.68 : x
  2. Step 2: Convert to fraction form
    11,538.54/17,290.19 = 5,993.68/x
  3. Step 3: Cross multiply
    11,538.54x = 17,290.19 × 5,993.68
  4. Step 4: Simplify right side
    11,538.54x = 103,631,866.00
  5. Step 5: Solve for x
    x = 103,631,866.00/11,538.54
  6. Step 6: Final answer
    x = 8,981.37

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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.