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Finding the Fourth Proportional to 6,804.93, 10,197.83 and 5,412.09

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Solution

The fourth proportional to 6,804.93, 10,197.83 and 5,412.09 is: 8,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.93 : 10,197.83 = 5,412.09 : x
  2. Step 2: Convert to fraction form
    6,804.93/10,197.83 = 5,412.09/x
  3. Step 3: Cross multiply
    6,804.93x = 10,197.83 × 5,412.09
  4. Step 4: Simplify right side
    6,804.93x = 55,191,567.00
  5. Step 5: Solve for x
    x = 55,191,567.00/6,804.93
  6. Step 6: Final answer
    x = 8,110.52

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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.