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Finding the Fourth Proportional to 7,632.88, 11,453.64 and 3,249.88

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Solution

The fourth proportional to 7,632.88, 11,453.64 and 3,249.88 is: 4,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.88 : 11,453.64 = 3,249.88 : x
  2. Step 2: Convert to fraction form
    7,632.88/11,453.64 = 3,249.88/x
  3. Step 3: Cross multiply
    7,632.88x = 11,453.64 × 3,249.88
  4. Step 4: Simplify right side
    7,632.88x = 37,222,955.56
  5. Step 5: Solve for x
    x = 37,222,955.56/7,632.88
  6. Step 6: Final answer
    x = 4,876.66

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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.