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Finding the Fourth Proportional to 8,078.44, 12,122.78 and 4,182.84

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Solution

The fourth proportional to 8,078.44, 12,122.78 and 4,182.84 is: 6,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.44 : 12,122.78 = 4,182.84 : x
  2. Step 2: Convert to fraction form
    8,078.44/12,122.78 = 4,182.84/x
  3. Step 3: Cross multiply
    8,078.44x = 12,122.78 × 4,182.84
  4. Step 4: Simplify right side
    8,078.44x = 50,707,649.10
  5. Step 5: Solve for x
    x = 50,707,649.10/8,078.44
  6. Step 6: Final answer
    x = 6,276.91

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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.