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Finding the Fourth Proportional to 7,704, 11,557.92 and 2,232

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Solution

The fourth proportional to 7,704, 11,557.92 and 2,232 is: 3,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704 : 11,557.92 = 2,232 : x
  2. Step 2: Convert to fraction form
    7,704/11,557.92 = 2,232/x
  3. Step 3: Cross multiply
    7,704x = 11,557.92 × 2,232
  4. Step 4: Simplify right side
    7,704x = 25,797,277.44
  5. Step 5: Solve for x
    x = 25,797,277.44/7,704
  6. Step 6: Final answer
    x = 3,348.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.