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Finding the Fourth Proportional to 11,514, 17,276.76 and 5,274

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Solution

The fourth proportional to 11,514, 17,276.76 and 5,274 is: 7,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514 : 17,276.76 = 5,274 : x
  2. Step 2: Convert to fraction form
    11,514/17,276.76 = 5,274/x
  3. Step 3: Cross multiply
    11,514x = 17,276.76 × 5,274
  4. Step 4: Simplify right side
    11,514x = 91,117,632.24
  5. Step 5: Solve for x
    x = 91,117,632.24/11,514
  6. Step 6: Final answer
    x = 7,913.64

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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.