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Finding the Fourth Proportional to 11,744.05, 16,205.65 and 7,028.23

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Solution

The fourth proportional to 11,744.05, 16,205.65 and 7,028.23 is: 9,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.05 : 16,205.65 = 7,028.23 : x
  2. Step 2: Convert to fraction form
    11,744.05/16,205.65 = 7,028.23/x
  3. Step 3: Cross multiply
    11,744.05x = 16,205.65 × 7,028.23
  4. Step 4: Simplify right side
    11,744.05x = 113,897,035.50
  5. Step 5: Solve for x
    x = 113,897,035.50/11,744.05
  6. Step 6: Final answer
    x = 9,698.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.