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Finding the Fourth Proportional to 8,825.76, 12,183.36 and 5,843.04

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Solution

The fourth proportional to 8,825.76, 12,183.36 and 5,843.04 is: 8,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.76 : 12,183.36 = 5,843.04 : x
  2. Step 2: Convert to fraction form
    8,825.76/12,183.36 = 5,843.04/x
  3. Step 3: Cross multiply
    8,825.76x = 12,183.36 × 5,843.04
  4. Step 4: Simplify right side
    8,825.76x = 71,187,859.81
  5. Step 5: Solve for x
    x = 71,187,859.81/8,825.76
  6. Step 6: Final answer
    x = 8,065.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.