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Finding the Fourth Proportional to 8,121.83, 11,207.17 and 4,584.83

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Solution

The fourth proportional to 8,121.83, 11,207.17 and 4,584.83 is: 6,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.83 : 11,207.17 = 4,584.83 : x
  2. Step 2: Convert to fraction form
    8,121.83/11,207.17 = 4,584.83/x
  3. Step 3: Cross multiply
    8,121.83x = 11,207.17 × 4,584.83
  4. Step 4: Simplify right side
    8,121.83x = 51,382,969.23
  5. Step 5: Solve for x
    x = 51,382,969.23/8,121.83
  6. Step 6: Final answer
    x = 6,326.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.