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Finding the Fourth Proportional to 8,156.67, 12,226.41 and 3,777

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Solution

The fourth proportional to 8,156.67, 12,226.41 and 3,777 is: 5,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.67 : 12,226.41 = 3,777 : x
  2. Step 2: Convert to fraction form
    8,156.67/12,226.41 = 3,777/x
  3. Step 3: Cross multiply
    8,156.67x = 12,226.41 × 3,777
  4. Step 4: Simplify right side
    8,156.67x = 46,179,150.57
  5. Step 5: Solve for x
    x = 46,179,150.57/8,156.67
  6. Step 6: Final answer
    x = 5,661.52

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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.