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Finding the Fourth Proportional to 6,884.12, 10,253.31 and 6,850.56

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Solution

The fourth proportional to 6,884.12, 10,253.31 and 6,850.56 is: 10,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.12 : 10,253.31 = 6,850.56 : x
  2. Step 2: Convert to fraction form
    6,884.12/10,253.31 = 6,850.56/x
  3. Step 3: Cross multiply
    6,884.12x = 10,253.31 × 6,850.56
  4. Step 4: Simplify right side
    6,884.12x = 70,240,915.35
  5. Step 5: Solve for x
    x = 70,240,915.35/6,884.12
  6. Step 6: Final answer
    x = 10,203.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.