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Finding the Fourth Proportional to 6,661.83, 10,004.09 and 6,383.19

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Solution

The fourth proportional to 6,661.83, 10,004.09 and 6,383.19 is: 9,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.83 : 10,004.09 = 6,383.19 : x
  2. Step 2: Convert to fraction form
    6,661.83/10,004.09 = 6,383.19/x
  3. Step 3: Cross multiply
    6,661.83x = 10,004.09 × 6,383.19
  4. Step 4: Simplify right side
    6,661.83x = 63,858,007.25
  5. Step 5: Solve for x
    x = 63,858,007.25/6,661.83
  6. Step 6: Final answer
    x = 9,585.66

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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.