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Finding the Fourth Proportional to 8,201.58, 11,318.67 and 6,208.98

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Solution

The fourth proportional to 8,201.58, 11,318.67 and 6,208.98 is: 8,568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.58 : 11,318.67 = 6,208.98 : x
  2. Step 2: Convert to fraction form
    8,201.58/11,318.67 = 6,208.98/x
  3. Step 3: Cross multiply
    8,201.58x = 11,318.67 × 6,208.98
  4. Step 4: Simplify right side
    8,201.58x = 70,277,395.66
  5. Step 5: Solve for x
    x = 70,277,395.66/8,201.58
  6. Step 6: Final answer
    x = 8,568.76

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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.