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Finding the Fourth Proportional to 6,093.24, 8,405.76 and 4,411.92

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Solution

The fourth proportional to 6,093.24, 8,405.76 and 4,411.92 is: 6,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.24 : 8,405.76 = 4,411.92 : x
  2. Step 2: Convert to fraction form
    6,093.24/8,405.76 = 4,411.92/x
  3. Step 3: Cross multiply
    6,093.24x = 8,405.76 × 4,411.92
  4. Step 4: Simplify right side
    6,093.24x = 37,085,540.66
  5. Step 5: Solve for x
    x = 37,085,540.66/6,093.24
  6. Step 6: Final answer
    x = 6,086.34

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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.