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Finding the Fourth Proportional to 8,211.38, 11,332.05 and 4,485.62

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Solution

The fourth proportional to 8,211.38, 11,332.05 and 4,485.62 is: 6,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.38 : 11,332.05 = 4,485.62 : x
  2. Step 2: Convert to fraction form
    8,211.38/11,332.05 = 4,485.62/x
  3. Step 3: Cross multiply
    8,211.38x = 11,332.05 × 4,485.62
  4. Step 4: Simplify right side
    8,211.38x = 50,831,270.12
  5. Step 5: Solve for x
    x = 50,831,270.12/8,211.38
  6. Step 6: Final answer
    x = 6,190.34

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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.