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Finding the Fourth Proportional to 6,804.47, 10,208.53 and 3,884.83

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Solution

The fourth proportional to 6,804.47, 10,208.53 and 3,884.83 is: 5,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.47 : 10,208.53 = 3,884.83 : x
  2. Step 2: Convert to fraction form
    6,804.47/10,208.53 = 3,884.83/x
  3. Step 3: Cross multiply
    6,804.47x = 10,208.53 × 3,884.83
  4. Step 4: Simplify right side
    6,804.47x = 39,658,382.93
  5. Step 5: Solve for x
    x = 39,658,382.93/6,804.47
  6. Step 6: Final answer
    x = 5,828.28

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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.