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Finding the Fourth Proportional to 11,382.75, 15,708.20 and 6,414.75

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Solution

The fourth proportional to 11,382.75, 15,708.20 and 6,414.75 is: 8,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.75 : 15,708.20 = 6,414.75 : x
  2. Step 2: Convert to fraction form
    11,382.75/15,708.20 = 6,414.75/x
  3. Step 3: Cross multiply
    11,382.75x = 15,708.20 × 6,414.75
  4. Step 4: Simplify right side
    11,382.75x = 100,764,143.88
  5. Step 5: Solve for x
    x = 100,764,143.88/11,382.75
  6. Step 6: Final answer
    x = 8,852.36

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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.