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Finding the Fourth Proportional to 11,768.85, 17,624.12 and 6,563.79

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Solution

The fourth proportional to 11,768.85, 17,624.12 and 6,563.79 is: 9,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.85 : 17,624.12 = 6,563.79 : x
  2. Step 2: Convert to fraction form
    11,768.85/17,624.12 = 6,563.79/x
  3. Step 3: Cross multiply
    11,768.85x = 17,624.12 × 6,563.79
  4. Step 4: Simplify right side
    11,768.85x = 115,680,989.80
  5. Step 5: Solve for x
    x = 115,680,989.80/11,768.85
  6. Step 6: Final answer
    x = 9,829.42

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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.