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Finding the Fourth Proportional to 11,953.37, 17,932.33 and 5,713.87

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Solution

The fourth proportional to 11,953.37, 17,932.33 and 5,713.87 is: 8,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.37 : 17,932.33 = 5,713.87 : x
  2. Step 2: Convert to fraction form
    11,953.37/17,932.33 = 5,713.87/x
  3. Step 3: Cross multiply
    11,953.37x = 17,932.33 × 5,713.87
  4. Step 4: Simplify right side
    11,953.37x = 102,463,002.42
  5. Step 5: Solve for x
    x = 102,463,002.42/11,953.37
  6. Step 6: Final answer
    x = 8,571.89

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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.