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Finding the Fourth Proportional to 8,514.52, 12,760.94 and 3,829.52

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Solution

The fourth proportional to 8,514.52, 12,760.94 and 3,829.52 is: 5,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.52 : 12,760.94 = 3,829.52 : x
  2. Step 2: Convert to fraction form
    8,514.52/12,760.94 = 3,829.52/x
  3. Step 3: Cross multiply
    8,514.52x = 12,760.94 × 3,829.52
  4. Step 4: Simplify right side
    8,514.52x = 48,868,274.95
  5. Step 5: Solve for x
    x = 48,868,274.95/8,514.52
  6. Step 6: Final answer
    x = 5,739.40

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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.