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Finding the Fourth Proportional to 8,201.58, 11,317.84 and 4,845.48

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Solution

The fourth proportional to 8,201.58, 11,317.84 and 4,845.48 is: 6,686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.58 : 11,317.84 = 4,845.48 : x
  2. Step 2: Convert to fraction form
    8,201.58/11,317.84 = 4,845.48/x
  3. Step 3: Cross multiply
    8,201.58x = 11,317.84 × 4,845.48
  4. Step 4: Simplify right side
    8,201.58x = 54,840,367.36
  5. Step 5: Solve for x
    x = 54,840,367.36/8,201.58
  6. Step 6: Final answer
    x = 6,686.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.