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Finding the Fourth Proportional to 7,996.23, 11,037.81 and 6,872.67

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Solution

The fourth proportional to 7,996.23, 11,037.81 and 6,872.67 is: 9,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.23 : 11,037.81 = 6,872.67 : x
  2. Step 2: Convert to fraction form
    7,996.23/11,037.81 = 6,872.67/x
  3. Step 3: Cross multiply
    7,996.23x = 11,037.81 × 6,872.67
  4. Step 4: Simplify right side
    7,996.23x = 75,859,225.65
  5. Step 5: Solve for x
    x = 75,859,225.65/7,996.23
  6. Step 6: Final answer
    x = 9,486.87

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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.