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Finding the Fourth Proportional to 11,644.42, 16,062.50 and 8,453.98

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Solution

The fourth proportional to 11,644.42, 16,062.50 and 8,453.98 is: 11,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.42 : 16,062.50 = 8,453.98 : x
  2. Step 2: Convert to fraction form
    11,644.42/16,062.50 = 8,453.98/x
  3. Step 3: Cross multiply
    11,644.42x = 16,062.50 × 8,453.98
  4. Step 4: Simplify right side
    11,644.42x = 135,792,053.75
  5. Step 5: Solve for x
    x = 135,792,053.75/11,644.42
  6. Step 6: Final answer
    x = 11,661.56

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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.