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Finding the Fourth Proportional to 8,216.45, 11,338.05 and 4,859.41

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Solution

The fourth proportional to 8,216.45, 11,338.05 and 4,859.41 is: 6,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.45 : 11,338.05 = 4,859.41 : x
  2. Step 2: Convert to fraction form
    8,216.45/11,338.05 = 4,859.41/x
  3. Step 3: Cross multiply
    8,216.45x = 11,338.05 × 4,859.41
  4. Step 4: Simplify right side
    8,216.45x = 55,096,231.02
  5. Step 5: Solve for x
    x = 55,096,231.02/8,216.45
  6. Step 6: Final answer
    x = 6,705.60

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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.