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Finding the Fourth Proportional to 11,177.31, 16,772.10 and 6,797.84

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Solution

The fourth proportional to 11,177.31, 16,772.10 and 6,797.84 is: 10,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.31 : 16,772.10 = 6,797.84 : x
  2. Step 2: Convert to fraction form
    11,177.31/16,772.10 = 6,797.84/x
  3. Step 3: Cross multiply
    11,177.31x = 16,772.10 × 6,797.84
  4. Step 4: Simplify right side
    11,177.31x = 114,014,052.26
  5. Step 5: Solve for x
    x = 114,014,052.26/11,177.31
  6. Step 6: Final answer
    x = 10,200.49

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Why These Related Problems?

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