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Finding the Fourth Proportional to 7,828.68, 11,745.06 and 3,879.77

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Solution

The fourth proportional to 7,828.68, 11,745.06 and 3,879.77 is: 5,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.68 : 11,745.06 = 3,879.77 : x
  2. Step 2: Convert to fraction form
    7,828.68/11,745.06 = 3,879.77/x
  3. Step 3: Cross multiply
    7,828.68x = 11,745.06 × 3,879.77
  4. Step 4: Simplify right side
    7,828.68x = 45,568,184.54
  5. Step 5: Solve for x
    x = 45,568,184.54/7,828.68
  6. Step 6: Final answer
    x = 5,820.68

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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.