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Finding the Fourth Proportional to 5,988.43, 8,204.19 and 5,763.97

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Solution

The fourth proportional to 5,988.43, 8,204.19 and 5,763.97 is: 7,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.43 : 8,204.19 = 5,763.97 : x
  2. Step 2: Convert to fraction form
    5,988.43/8,204.19 = 5,763.97/x
  3. Step 3: Cross multiply
    5,988.43x = 8,204.19 × 5,763.97
  4. Step 4: Simplify right side
    5,988.43x = 47,288,726.10
  5. Step 5: Solve for x
    x = 47,288,726.10/5,988.43
  6. Step 6: Final answer
    x = 7,896.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.