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Finding the Fourth Proportional to 7,826.52, 11,739.83 and 1,983.12

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Solution

The fourth proportional to 7,826.52, 11,739.83 and 1,983.12 is: 2,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.52 : 11,739.83 = 1,983.12 : x
  2. Step 2: Convert to fraction form
    7,826.52/11,739.83 = 1,983.12/x
  3. Step 3: Cross multiply
    7,826.52x = 11,739.83 × 1,983.12
  4. Step 4: Simplify right side
    7,826.52x = 23,281,481.75
  5. Step 5: Solve for x
    x = 23,281,481.75/7,826.52
  6. Step 6: Final answer
    x = 2,974.69

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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.