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Finding the Fourth Proportional to 7,264, 10,896 and 2,400

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Solution

The fourth proportional to 7,264, 10,896 and 2,400 is: 3,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264 : 10,896 = 2,400 : x
  2. Step 2: Convert to fraction form
    7,264/10,896 = 2,400/x
  3. Step 3: Cross multiply
    7,264x = 10,896 × 2,400
  4. Step 4: Simplify right side
    7,264x = 26,150,400
  5. Step 5: Solve for x
    x = 26,150,400/7,264
  6. Step 6: Final answer
    x = 3,600

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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.