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Finding the Fourth Proportional to 6,882.75, 10,325.07 and 3,186

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Solution

The fourth proportional to 6,882.75, 10,325.07 and 3,186 is: 4,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.75 : 10,325.07 = 3,186 : x
  2. Step 2: Convert to fraction form
    6,882.75/10,325.07 = 3,186/x
  3. Step 3: Cross multiply
    6,882.75x = 10,325.07 × 3,186
  4. Step 4: Simplify right side
    6,882.75x = 32,895,673.02
  5. Step 5: Solve for x
    x = 32,895,673.02/6,882.75
  6. Step 6: Final answer
    x = 4,779.44

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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.