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Finding the Fourth Proportional to 8,202.60, 11,320.20 and 4,665.96

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Solution

The fourth proportional to 8,202.60, 11,320.20 and 4,665.96 is: 6,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.60 : 11,320.20 = 4,665.96 : x
  2. Step 2: Convert to fraction form
    8,202.60/11,320.20 = 4,665.96/x
  3. Step 3: Cross multiply
    8,202.60x = 11,320.20 × 4,665.96
  4. Step 4: Simplify right side
    8,202.60x = 52,819,600.39
  5. Step 5: Solve for x
    x = 52,819,600.39/8,202.60
  6. Step 6: Final answer
    x = 6,439.37

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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.