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Finding the Fourth Proportional to 7,882.87, 11,817.90 and 3,205.07

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Solution

The fourth proportional to 7,882.87, 11,817.90 and 3,205.07 is: 4,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.87 : 11,817.90 = 3,205.07 : x
  2. Step 2: Convert to fraction form
    7,882.87/11,817.90 = 3,205.07/x
  3. Step 3: Cross multiply
    7,882.87x = 11,817.90 × 3,205.07
  4. Step 4: Simplify right side
    7,882.87x = 37,877,181.98
  5. Step 5: Solve for x
    x = 37,877,181.98/7,882.87
  6. Step 6: Final answer
    x = 4,805.00

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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.