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Finding the Fourth Proportional to 8,149.49, 11,246.34 and 4,613.39

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Solution

The fourth proportional to 8,149.49, 11,246.34 and 4,613.39 is: 6,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.49 : 11,246.34 = 4,613.39 : x
  2. Step 2: Convert to fraction form
    8,149.49/11,246.34 = 4,613.39/x
  3. Step 3: Cross multiply
    8,149.49x = 11,246.34 × 4,613.39
  4. Step 4: Simplify right side
    8,149.49x = 51,883,673.19
  5. Step 5: Solve for x
    x = 51,883,673.19/8,149.49
  6. Step 6: Final answer
    x = 6,366.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.