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Finding the Fourth Proportional to 6,801.36, 10,194.13 and 3,881.71

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Solution

The fourth proportional to 6,801.36, 10,194.13 and 3,881.71 is: 5,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.36 : 10,194.13 = 3,881.71 : x
  2. Step 2: Convert to fraction form
    6,801.36/10,194.13 = 3,881.71/x
  3. Step 3: Cross multiply
    6,801.36x = 10,194.13 × 3,881.71
  4. Step 4: Simplify right side
    6,801.36x = 39,570,656.36
  5. Step 5: Solve for x
    x = 39,570,656.36/6,801.36
  6. Step 6: Final answer
    x = 5,818.05

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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.