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Finding the Fourth Proportional to 8,221.47, 11,422.15 and 8,123.05

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Solution

The fourth proportional to 8,221.47, 11,422.15 and 8,123.05 is: 11,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.47 : 11,422.15 = 8,123.05 : x
  2. Step 2: Convert to fraction form
    8,221.47/11,422.15 = 8,123.05/x
  3. Step 3: Cross multiply
    8,221.47x = 11,422.15 × 8,123.05
  4. Step 4: Simplify right side
    8,221.47x = 92,782,695.56
  5. Step 5: Solve for x
    x = 92,782,695.56/8,221.47
  6. Step 6: Final answer
    x = 11,285.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.