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Finding the Fourth Proportional to 8,156.61, 12,232.89 and 2,313.27

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Solution

The fourth proportional to 8,156.61, 12,232.89 and 2,313.27 is: 3,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.61 : 12,232.89 = 2,313.27 : x
  2. Step 2: Convert to fraction form
    8,156.61/12,232.89 = 2,313.27/x
  3. Step 3: Cross multiply
    8,156.61x = 12,232.89 × 2,313.27
  4. Step 4: Simplify right side
    8,156.61x = 28,297,977.45
  5. Step 5: Solve for x
    x = 28,297,977.45/8,156.61
  6. Step 6: Final answer
    x = 3,469.33

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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.