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Finding the Fourth Proportional to 11,288.34, 16,932.57 and 3,497.16

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Solution

The fourth proportional to 11,288.34, 16,932.57 and 3,497.16 is: 5,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.34 : 16,932.57 = 3,497.16 : x
  2. Step 2: Convert to fraction form
    11,288.34/16,932.57 = 3,497.16/x
  3. Step 3: Cross multiply
    11,288.34x = 16,932.57 × 3,497.16
  4. Step 4: Simplify right side
    11,288.34x = 59,215,906.50
  5. Step 5: Solve for x
    x = 59,215,906.50/11,288.34
  6. Step 6: Final answer
    x = 5,245.76

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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.