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Finding the Fourth Proportional to 8,027.76, 12,036.50 and 3,859.46

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Solution

The fourth proportional to 8,027.76, 12,036.50 and 3,859.46 is: 5,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.76 : 12,036.50 = 3,859.46 : x
  2. Step 2: Convert to fraction form
    8,027.76/12,036.50 = 3,859.46/x
  3. Step 3: Cross multiply
    8,027.76x = 12,036.50 × 3,859.46
  4. Step 4: Simplify right side
    8,027.76x = 46,454,438.13
  5. Step 5: Solve for x
    x = 46,454,438.13/8,027.76
  6. Step 6: Final answer
    x = 5,786.73

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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.