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Finding the Fourth Proportional to 11,987.60, 17,983.69 and 5,743.37

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Solution

The fourth proportional to 11,987.60, 17,983.69 and 5,743.37 is: 8,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.60 : 17,983.69 = 5,743.37 : x
  2. Step 2: Convert to fraction form
    11,987.60/17,983.69 = 5,743.37/x
  3. Step 3: Cross multiply
    11,987.60x = 17,983.69 × 5,743.37
  4. Step 4: Simplify right side
    11,987.60x = 103,287,016.24
  5. Step 5: Solve for x
    x = 103,287,016.24/11,987.60
  6. Step 6: Final answer
    x = 8,616.16

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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.