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Finding the Fourth Proportional to 11,744.55, 16,206.35 and 7,028.73

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Solution

The fourth proportional to 11,744.55, 16,206.35 and 7,028.73 is: 9,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.55 : 16,206.35 = 7,028.73 : x
  2. Step 2: Convert to fraction form
    11,744.55/16,206.35 = 7,028.73/x
  3. Step 3: Cross multiply
    11,744.55x = 16,206.35 × 7,028.73
  4. Step 4: Simplify right side
    11,744.55x = 113,910,023.29
  5. Step 5: Solve for x
    x = 113,910,023.29/11,744.55
  6. Step 6: Final answer
    x = 9,698.97

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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.