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Finding the Fourth Proportional to 10,833.41, 16,246 and 4,256

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Solution

The fourth proportional to 10,833.41, 16,246 and 4,256 is: 6,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.41 : 16,246 = 4,256 : x
  2. Step 2: Convert to fraction form
    10,833.41/16,246 = 4,256/x
  3. Step 3: Cross multiply
    10,833.41x = 16,246 × 4,256
  4. Step 4: Simplify right side
    10,833.41x = 69,142,976
  5. Step 5: Solve for x
    x = 69,142,976/10,833.41
  6. Step 6: Final answer
    x = 6,382.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.