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Finding the Fourth Proportional to 11,923.94, 17,866.46 and 6,072.50

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Solution

The fourth proportional to 11,923.94, 17,866.46 and 6,072.50 is: 9,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.94 : 17,866.46 = 6,072.50 : x
  2. Step 2: Convert to fraction form
    11,923.94/17,866.46 = 6,072.50/x
  3. Step 3: Cross multiply
    11,923.94x = 17,866.46 × 6,072.50
  4. Step 4: Simplify right side
    11,923.94x = 108,494,078.35
  5. Step 5: Solve for x
    x = 108,494,078.35/11,923.94
  6. Step 6: Final answer
    x = 9,098.84

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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.