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Finding the Fourth Proportional to 11,807.75, 17,711.03 and 2,923.03

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Solution

The fourth proportional to 11,807.75, 17,711.03 and 2,923.03 is: 4,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.75 : 17,711.03 = 2,923.03 : x
  2. Step 2: Convert to fraction form
    11,807.75/17,711.03 = 2,923.03/x
  3. Step 3: Cross multiply
    11,807.75x = 17,711.03 × 2,923.03
  4. Step 4: Simplify right side
    11,807.75x = 51,769,835.05
  5. Step 5: Solve for x
    x = 51,769,835.05/11,807.75
  6. Step 6: Final answer
    x = 4,384.39

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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.