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Finding the Fourth Proportional to 11,936.80, 16,470.18 and 7,220.98

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Solution

The fourth proportional to 11,936.80, 16,470.18 and 7,220.98 is: 9,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.80 : 16,470.18 = 7,220.98 : x
  2. Step 2: Convert to fraction form
    11,936.80/16,470.18 = 7,220.98/x
  3. Step 3: Cross multiply
    11,936.80x = 16,470.18 × 7,220.98
  4. Step 4: Simplify right side
    11,936.80x = 118,930,840.38
  5. Step 5: Solve for x
    x = 118,930,840.38/11,936.80
  6. Step 6: Final answer
    x = 9,963.38

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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.