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Finding the Fourth Proportional to 11,993.57, 17,988.30 and 5,418.21

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Solution

The fourth proportional to 11,993.57, 17,988.30 and 5,418.21 is: 8,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.57 : 17,988.30 = 5,418.21 : x
  2. Step 2: Convert to fraction form
    11,993.57/17,988.30 = 5,418.21/x
  3. Step 3: Cross multiply
    11,993.57x = 17,988.30 × 5,418.21
  4. Step 4: Simplify right side
    11,993.57x = 97,464,386.94
  5. Step 5: Solve for x
    x = 97,464,386.94/11,993.57
  6. Step 6: Final answer
    x = 8,126.39

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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.