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Finding the Fourth Proportional to 8,078.40, 12,112.20 and 3,693.60

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Solution

The fourth proportional to 8,078.40, 12,112.20 and 3,693.60 is: 5,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.40 : 12,112.20 = 3,693.60 : x
  2. Step 2: Convert to fraction form
    8,078.40/12,112.20 = 3,693.60/x
  3. Step 3: Cross multiply
    8,078.40x = 12,112.20 × 3,693.60
  4. Step 4: Simplify right side
    8,078.40x = 44,737,621.92
  5. Step 5: Solve for x
    x = 44,737,621.92/8,078.40
  6. Step 6: Final answer
    x = 5,537.93

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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.