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Finding the Fourth Proportional to 8,497.26, 12,743.66 and 3,814.65

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Solution

The fourth proportional to 8,497.26, 12,743.66 and 3,814.65 is: 5,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.26 : 12,743.66 = 3,814.65 : x
  2. Step 2: Convert to fraction form
    8,497.26/12,743.66 = 3,814.65/x
  3. Step 3: Cross multiply
    8,497.26x = 12,743.66 × 3,814.65
  4. Step 4: Simplify right side
    8,497.26x = 48,612,612.16
  5. Step 5: Solve for x
    x = 48,612,612.16/8,497.26
  6. Step 6: Final answer
    x = 5,720.98

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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.