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Finding the Fourth Proportional to 8,198.64, 11,315.36 and 5,970.65

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Solution

The fourth proportional to 8,198.64, 11,315.36 and 5,970.65 is: 8,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.64 : 11,315.36 = 5,970.65 : x
  2. Step 2: Convert to fraction form
    8,198.64/11,315.36 = 5,970.65/x
  3. Step 3: Cross multiply
    8,198.64x = 11,315.36 × 5,970.65
  4. Step 4: Simplify right side
    8,198.64x = 67,560,012.53
  5. Step 5: Solve for x
    x = 67,560,012.53/8,198.64
  6. Step 6: Final answer
    x = 8,240.39

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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.