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Finding the Fourth Proportional to 10,764, 16,146 and 3,468

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Solution

The fourth proportional to 10,764, 16,146 and 3,468 is: 5,202

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764 : 16,146 = 3,468 : x
  2. Step 2: Convert to fraction form
    10,764/16,146 = 3,468/x
  3. Step 3: Cross multiply
    10,764x = 16,146 × 3,468
  4. Step 4: Simplify right side
    10,764x = 55,994,328
  5. Step 5: Solve for x
    x = 55,994,328/10,764
  6. Step 6: Final answer
    x = 5,202

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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.