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Finding the Fourth Proportional to 8,015.82, 12,023.60 and 3,086.54

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Solution

The fourth proportional to 8,015.82, 12,023.60 and 3,086.54 is: 4,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.82 : 12,023.60 = 3,086.54 : x
  2. Step 2: Convert to fraction form
    8,015.82/12,023.60 = 3,086.54/x
  3. Step 3: Cross multiply
    8,015.82x = 12,023.60 × 3,086.54
  4. Step 4: Simplify right side
    8,015.82x = 37,111,322.34
  5. Step 5: Solve for x
    x = 37,111,322.34/8,015.82
  6. Step 6: Final answer
    x = 4,629.76

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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.