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Finding the Fourth Proportional to 11,424, 17,136 and 3,216

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Solution

The fourth proportional to 11,424, 17,136 and 3,216 is: 4,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424 : 17,136 = 3,216 : x
  2. Step 2: Convert to fraction form
    11,424/17,136 = 3,216/x
  3. Step 3: Cross multiply
    11,424x = 17,136 × 3,216
  4. Step 4: Simplify right side
    11,424x = 55,109,376
  5. Step 5: Solve for x
    x = 55,109,376/11,424
  6. Step 6: Final answer
    x = 4,824

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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.