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Finding the Fourth Proportional to 8,825.94, 12,182.52 and 5,682.12

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Solution

The fourth proportional to 8,825.94, 12,182.52 and 5,682.12 is: 7,843.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.94 : 12,182.52 = 5,682.12 : x
  2. Step 2: Convert to fraction form
    8,825.94/12,182.52 = 5,682.12/x
  3. Step 3: Cross multiply
    8,825.94x = 12,182.52 × 5,682.12
  4. Step 4: Simplify right side
    8,825.94x = 69,222,540.54
  5. Step 5: Solve for x
    x = 69,222,540.54/8,825.94
  6. Step 6: Final answer
    x = 7,843.08

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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.