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Finding the Fourth Proportional to 7,674.65, 11,511.97 and 2,127.99

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Solution

The fourth proportional to 7,674.65, 11,511.97 and 2,127.99 is: 3,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.65 : 11,511.97 = 2,127.99 : x
  2. Step 2: Convert to fraction form
    7,674.65/11,511.97 = 2,127.99/x
  3. Step 3: Cross multiply
    7,674.65x = 11,511.97 × 2,127.99
  4. Step 4: Simplify right side
    7,674.65x = 24,497,391.14
  5. Step 5: Solve for x
    x = 24,497,391.14/7,674.65
  6. Step 6: Final answer
    x = 3,191.99

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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.