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Finding the Fourth Proportional to 8,107.62, 11,185.80 and 6,612.96

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Solution

The fourth proportional to 8,107.62, 11,185.80 and 6,612.96 is: 9,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.62 : 11,185.80 = 6,612.96 : x
  2. Step 2: Convert to fraction form
    8,107.62/11,185.80 = 6,612.96/x
  3. Step 3: Cross multiply
    8,107.62x = 11,185.80 × 6,612.96
  4. Step 4: Simplify right side
    8,107.62x = 73,971,247.97
  5. Step 5: Solve for x
    x = 73,971,247.97/8,107.62
  6. Step 6: Final answer
    x = 9,123.67

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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.