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Finding the Fourth Proportional to 8,154.24, 12,227.04 and 2,958

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Solution

The fourth proportional to 8,154.24, 12,227.04 and 2,958 is: 4,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.24 : 12,227.04 = 2,958 : x
  2. Step 2: Convert to fraction form
    8,154.24/12,227.04 = 2,958/x
  3. Step 3: Cross multiply
    8,154.24x = 12,227.04 × 2,958
  4. Step 4: Simplify right side
    8,154.24x = 36,167,584.32
  5. Step 5: Solve for x
    x = 36,167,584.32/8,154.24
  6. Step 6: Final answer
    x = 4,435.43

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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.