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Finding the Fourth Proportional to 6,207.63, 8,582.73 and 5,932.23

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Solution

The fourth proportional to 6,207.63, 8,582.73 and 5,932.23 is: 8,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.63 : 8,582.73 = 5,932.23 : x
  2. Step 2: Convert to fraction form
    6,207.63/8,582.73 = 5,932.23/x
  3. Step 3: Cross multiply
    6,207.63x = 8,582.73 × 5,932.23
  4. Step 4: Simplify right side
    6,207.63x = 50,914,728.39
  5. Step 5: Solve for x
    x = 50,914,728.39/6,207.63
  6. Step 6: Final answer
    x = 8,201.96

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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.