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Finding the Fourth Proportional to 8,181.84, 12,278.43 and 4,288.98

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Solution

The fourth proportional to 8,181.84, 12,278.43 and 4,288.98 is: 6,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.84 : 12,278.43 = 4,288.98 : x
  2. Step 2: Convert to fraction form
    8,181.84/12,278.43 = 4,288.98/x
  3. Step 3: Cross multiply
    8,181.84x = 12,278.43 × 4,288.98
  4. Step 4: Simplify right side
    8,181.84x = 52,661,940.70
  5. Step 5: Solve for x
    x = 52,661,940.70/8,181.84
  6. Step 6: Final answer
    x = 6,436.44

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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.