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Finding the Fourth Proportional to 8,138.74, 12,194.16 and 5,465.32

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Solution

The fourth proportional to 8,138.74, 12,194.16 and 5,465.32 is: 8,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.74 : 12,194.16 = 5,465.32 : x
  2. Step 2: Convert to fraction form
    8,138.74/12,194.16 = 5,465.32/x
  3. Step 3: Cross multiply
    8,138.74x = 12,194.16 × 5,465.32
  4. Step 4: Simplify right side
    8,138.74x = 66,644,986.53
  5. Step 5: Solve for x
    x = 66,644,986.53/8,138.74
  6. Step 6: Final answer
    x = 8,188.61

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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.