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Finding the Fourth Proportional to 12,056.78, 16,640.46 and 8,078.46

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Solution

The fourth proportional to 12,056.78, 16,640.46 and 8,078.46 is: 11,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.78 : 16,640.46 = 8,078.46 : x
  2. Step 2: Convert to fraction form
    12,056.78/16,640.46 = 8,078.46/x
  3. Step 3: Cross multiply
    12,056.78x = 16,640.46 × 8,078.46
  4. Step 4: Simplify right side
    12,056.78x = 134,429,290.49
  5. Step 5: Solve for x
    x = 134,429,290.49/12,056.78
  6. Step 6: Final answer
    x = 11,149.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.