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Finding the Fourth Proportional to 6,194.42, 8,536.50 and 6,080.55

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Solution

The fourth proportional to 6,194.42, 8,536.50 and 6,080.55 is: 8,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.42 : 8,536.50 = 6,080.55 : x
  2. Step 2: Convert to fraction form
    6,194.42/8,536.50 = 6,080.55/x
  3. Step 3: Cross multiply
    6,194.42x = 8,536.50 × 6,080.55
  4. Step 4: Simplify right side
    6,194.42x = 51,906,624.28
  5. Step 5: Solve for x
    x = 51,906,624.28/6,194.42
  6. Step 6: Final answer
    x = 8,379.58

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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.