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Finding the Fourth Proportional to 8,056.54, 12,083.44 and 2,211.78

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Solution

The fourth proportional to 8,056.54, 12,083.44 and 2,211.78 is: 3,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.54 : 12,083.44 = 2,211.78 : x
  2. Step 2: Convert to fraction form
    8,056.54/12,083.44 = 2,211.78/x
  3. Step 3: Cross multiply
    8,056.54x = 12,083.44 × 2,211.78
  4. Step 4: Simplify right side
    8,056.54x = 26,725,910.92
  5. Step 5: Solve for x
    x = 26,725,910.92/8,056.54
  6. Step 6: Final answer
    x = 3,317.29

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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.