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Finding the Fourth Proportional to 8,078.40, 12,123.60 and 4,180.80

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Solution

The fourth proportional to 8,078.40, 12,123.60 and 4,180.80 is: 6,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.40 : 12,123.60 = 4,180.80 : x
  2. Step 2: Convert to fraction form
    8,078.40/12,123.60 = 4,180.80/x
  3. Step 3: Cross multiply
    8,078.40x = 12,123.60 × 4,180.80
  4. Step 4: Simplify right side
    8,078.40x = 50,686,346.88
  5. Step 5: Solve for x
    x = 50,686,346.88/8,078.40
  6. Step 6: Final answer
    x = 6,274.31

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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.