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Finding the Fourth Proportional to 8,369.25, 12,546.41 and 3,178.77

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Solution

The fourth proportional to 8,369.25, 12,546.41 and 3,178.77 is: 4,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.25 : 12,546.41 = 3,178.77 : x
  2. Step 2: Convert to fraction form
    8,369.25/12,546.41 = 3,178.77/x
  3. Step 3: Cross multiply
    8,369.25x = 12,546.41 × 3,178.77
  4. Step 4: Simplify right side
    8,369.25x = 39,882,088.98
  5. Step 5: Solve for x
    x = 39,882,088.98/8,369.25
  6. Step 6: Final answer
    x = 4,765.32

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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.