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Finding the Fourth Proportional to 11,883.96, 17,819.87 and 3,983.63

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Solution

The fourth proportional to 11,883.96, 17,819.87 and 3,983.63 is: 5,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.96 : 17,819.87 = 3,983.63 : x
  2. Step 2: Convert to fraction form
    11,883.96/17,819.87 = 3,983.63/x
  3. Step 3: Cross multiply
    11,883.96x = 17,819.87 × 3,983.63
  4. Step 4: Simplify right side
    11,883.96x = 70,987,659.71
  5. Step 5: Solve for x
    x = 70,987,659.71/11,883.96
  6. Step 6: Final answer
    x = 5,973.40

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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.