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Finding the Fourth Proportional to 7,983.77, 11,975.73 and 2,789.66

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Solution

The fourth proportional to 7,983.77, 11,975.73 and 2,789.66 is: 4,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.77 : 11,975.73 = 2,789.66 : x
  2. Step 2: Convert to fraction form
    7,983.77/11,975.73 = 2,789.66/x
  3. Step 3: Cross multiply
    7,983.77x = 11,975.73 × 2,789.66
  4. Step 4: Simplify right side
    7,983.77x = 33,408,214.95
  5. Step 5: Solve for x
    x = 33,408,214.95/7,983.77
  6. Step 6: Final answer
    x = 4,184.52

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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.