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Finding the Fourth Proportional to 11,896.40, 16,422.36 and 8,555.60

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Solution

The fourth proportional to 11,896.40, 16,422.36 and 8,555.60 is: 11,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.40 : 16,422.36 = 8,555.60 : x
  2. Step 2: Convert to fraction form
    11,896.40/16,422.36 = 8,555.60/x
  3. Step 3: Cross multiply
    11,896.40x = 16,422.36 × 8,555.60
  4. Step 4: Simplify right side
    11,896.40x = 140,503,143.22
  5. Step 5: Solve for x
    x = 140,503,143.22/11,896.40
  6. Step 6: Final answer
    x = 11,810.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.