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Finding the Fourth Proportional to 6,011.26, 8,293.12 and 3,995.65

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Solution

The fourth proportional to 6,011.26, 8,293.12 and 3,995.65 is: 5,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.26 : 8,293.12 = 3,995.65 : x
  2. Step 2: Convert to fraction form
    6,011.26/8,293.12 = 3,995.65/x
  3. Step 3: Cross multiply
    6,011.26x = 8,293.12 × 3,995.65
  4. Step 4: Simplify right side
    6,011.26x = 33,136,374.21
  5. Step 5: Solve for x
    x = 33,136,374.21/6,011.26
  6. Step 6: Final answer
    x = 5,512.39

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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.