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Finding the Fourth Proportional to 8,514.52, 12,764.20 and 3,319.20

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Solution

The fourth proportional to 8,514.52, 12,764.20 and 3,319.20 is: 4,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.52 : 12,764.20 = 3,319.20 : x
  2. Step 2: Convert to fraction form
    8,514.52/12,764.20 = 3,319.20/x
  3. Step 3: Cross multiply
    8,514.52x = 12,764.20 × 3,319.20
  4. Step 4: Simplify right side
    8,514.52x = 42,366,932.64
  5. Step 5: Solve for x
    x = 42,366,932.64/8,514.52
  6. Step 6: Final answer
    x = 4,975.85

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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.