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Finding the Fourth Proportional to 8,188.91, 11,289.25 and 6,924.89

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Solution

The fourth proportional to 8,188.91, 11,289.25 and 6,924.89 is: 9,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.91 : 11,289.25 = 6,924.89 : x
  2. Step 2: Convert to fraction form
    8,188.91/11,289.25 = 6,924.89/x
  3. Step 3: Cross multiply
    8,188.91x = 11,289.25 × 6,924.89
  4. Step 4: Simplify right side
    8,188.91x = 78,176,814.43
  5. Step 5: Solve for x
    x = 78,176,814.43/8,188.91
  6. Step 6: Final answer
    x = 9,546.67

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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.