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Finding the Fourth Proportional to 7,186, 10,779 and 3,082

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Solution

The fourth proportional to 7,186, 10,779 and 3,082 is: 4,623

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186 : 10,779 = 3,082 : x
  2. Step 2: Convert to fraction form
    7,186/10,779 = 3,082/x
  3. Step 3: Cross multiply
    7,186x = 10,779 × 3,082
  4. Step 4: Simplify right side
    7,186x = 33,220,878
  5. Step 5: Solve for x
    x = 33,220,878/7,186
  6. Step 6: Final answer
    x = 4,623

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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.