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Finding the Fourth Proportional to 8,158.05, 12,232.71 and 2,892.24

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Solution

The fourth proportional to 8,158.05, 12,232.71 and 2,892.24 is: 4,336.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.05 : 12,232.71 = 2,892.24 : x
  2. Step 2: Convert to fraction form
    8,158.05/12,232.71 = 2,892.24/x
  3. Step 3: Cross multiply
    8,158.05x = 12,232.71 × 2,892.24
  4. Step 4: Simplify right side
    8,158.05x = 35,379,933.17
  5. Step 5: Solve for x
    x = 35,379,933.17/8,158.05
  6. Step 6: Final answer
    x = 4,336.81

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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.