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Finding the Fourth Proportional to 6,800.34, 10,190.78 and 3,872.58

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Solution

The fourth proportional to 6,800.34, 10,190.78 and 3,872.58 is: 5,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.34 : 10,190.78 = 3,872.58 : x
  2. Step 2: Convert to fraction form
    6,800.34/10,190.78 = 3,872.58/x
  3. Step 3: Cross multiply
    6,800.34x = 10,190.78 × 3,872.58
  4. Step 4: Simplify right side
    6,800.34x = 39,464,610.81
  5. Step 5: Solve for x
    x = 39,464,610.81/6,800.34
  6. Step 6: Final answer
    x = 5,803.33

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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.