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Finding the Fourth Proportional to 11,551.90, 17,296.56 and 5,993.60

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Solution

The fourth proportional to 11,551.90, 17,296.56 and 5,993.60 is: 8,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.90 : 17,296.56 = 5,993.60 : x
  2. Step 2: Convert to fraction form
    11,551.90/17,296.56 = 5,993.60/x
  3. Step 3: Cross multiply
    11,551.90x = 17,296.56 × 5,993.60
  4. Step 4: Simplify right side
    11,551.90x = 103,668,662.02
  5. Step 5: Solve for x
    x = 103,668,662.02/11,551.90
  6. Step 6: Final answer
    x = 8,974.17

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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.