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Finding the Fourth Proportional to 6,804.10, 10,208.04 and 3,884.45

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Solution

The fourth proportional to 6,804.10, 10,208.04 and 3,884.45 is: 5,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.10 : 10,208.04 = 3,884.45 : x
  2. Step 2: Convert to fraction form
    6,804.10/10,208.04 = 3,884.45/x
  3. Step 3: Cross multiply
    6,804.10x = 10,208.04 × 3,884.45
  4. Step 4: Simplify right side
    6,804.10x = 39,652,631.93
  5. Step 5: Solve for x
    x = 39,652,631.93/6,804.10
  6. Step 6: Final answer
    x = 5,827.76

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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.