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Finding the Fourth Proportional to 11,744.44, 16,207.84 and 7,027.80

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Solution

The fourth proportional to 11,744.44, 16,207.84 and 7,027.80 is: 9,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.44 : 16,207.84 = 7,027.80 : x
  2. Step 2: Convert to fraction form
    11,744.44/16,207.84 = 7,027.80/x
  3. Step 3: Cross multiply
    11,744.44x = 16,207.84 × 7,027.80
  4. Step 4: Simplify right side
    11,744.44x = 113,905,457.95
  5. Step 5: Solve for x
    x = 113,905,457.95/11,744.44
  6. Step 6: Final answer
    x = 9,698.67

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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.