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Finding the Fourth Proportional to 7,688, 11,532 and 2,216

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Solution

The fourth proportional to 7,688, 11,532 and 2,216 is: 3,324

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688 : 11,532 = 2,216 : x
  2. Step 2: Convert to fraction form
    7,688/11,532 = 2,216/x
  3. Step 3: Cross multiply
    7,688x = 11,532 × 2,216
  4. Step 4: Simplify right side
    7,688x = 25,554,912
  5. Step 5: Solve for x
    x = 25,554,912/7,688
  6. Step 6: Final answer
    x = 3,324

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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.