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Finding the Fourth Proportional to 8,182.38, 12,271.83 and 3,738.78

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Solution

The fourth proportional to 8,182.38, 12,271.83 and 3,738.78 is: 5,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.38 : 12,271.83 = 3,738.78 : x
  2. Step 2: Convert to fraction form
    8,182.38/12,271.83 = 3,738.78/x
  3. Step 3: Cross multiply
    8,182.38x = 12,271.83 × 3,738.78
  4. Step 4: Simplify right side
    8,182.38x = 45,881,679.58
  5. Step 5: Solve for x
    x = 45,881,679.58/8,182.38
  6. Step 6: Final answer
    x = 5,607.38

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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.