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Finding the Fourth Proportional to 11,978.43, 17,959.83 and 5,738.25

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Solution

The fourth proportional to 11,978.43, 17,959.83 and 5,738.25 is: 8,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.43 : 17,959.83 = 5,738.25 : x
  2. Step 2: Convert to fraction form
    11,978.43/17,959.83 = 5,738.25/x
  3. Step 3: Cross multiply
    11,978.43x = 17,959.83 × 5,738.25
  4. Step 4: Simplify right side
    11,978.43x = 103,057,994.50
  5. Step 5: Solve for x
    x = 103,057,994.50/11,978.43
  6. Step 6: Final answer
    x = 8,603.63

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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.