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Finding the Fourth Proportional to 8,243.20, 11,380.86 and 5,415.58

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Solution

The fourth proportional to 8,243.20, 11,380.86 and 5,415.58 is: 7,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.20 : 11,380.86 = 5,415.58 : x
  2. Step 2: Convert to fraction form
    8,243.20/11,380.86 = 5,415.58/x
  3. Step 3: Cross multiply
    8,243.20x = 11,380.86 × 5,415.58
  4. Step 4: Simplify right side
    8,243.20x = 61,633,957.80
  5. Step 5: Solve for x
    x = 61,633,957.80/8,243.20
  6. Step 6: Final answer
    x = 7,476.95

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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.