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Finding the Fourth Proportional to 11,846.25, 17,771.25 and 4,451.28

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Solution

The fourth proportional to 11,846.25, 17,771.25 and 4,451.28 is: 6,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.25 : 17,771.25 = 4,451.28 : x
  2. Step 2: Convert to fraction form
    11,846.25/17,771.25 = 4,451.28/x
  3. Step 3: Cross multiply
    11,846.25x = 17,771.25 × 4,451.28
  4. Step 4: Simplify right side
    11,846.25x = 79,104,809.70
  5. Step 5: Solve for x
    x = 79,104,809.70/11,846.25
  6. Step 6: Final answer
    x = 6,677.62

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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.