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Finding the Fourth Proportional to 6,804.72, 10,206.96 and 3,876.78

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Solution

The fourth proportional to 6,804.72, 10,206.96 and 3,876.78 is: 5,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.72 : 10,206.96 = 3,876.78 : x
  2. Step 2: Convert to fraction form
    6,804.72/10,206.96 = 3,876.78/x
  3. Step 3: Cross multiply
    6,804.72x = 10,206.96 × 3,876.78
  4. Step 4: Simplify right side
    6,804.72x = 39,570,138.39
  5. Step 5: Solve for x
    x = 39,570,138.39/6,804.72
  6. Step 6: Final answer
    x = 5,815.10

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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.