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Finding the Fourth Proportional to 8,156.63, 12,233.57 and 2,311.88

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Solution

The fourth proportional to 8,156.63, 12,233.57 and 2,311.88 is: 3,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.63 : 12,233.57 = 2,311.88 : x
  2. Step 2: Convert to fraction form
    8,156.63/12,233.57 = 2,311.88/x
  3. Step 3: Cross multiply
    8,156.63x = 12,233.57 × 2,311.88
  4. Step 4: Simplify right side
    8,156.63x = 28,282,473.08
  5. Step 5: Solve for x
    x = 28,282,473.08/8,156.63
  6. Step 6: Final answer
    x = 3,467.42

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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.