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Finding the Fourth Proportional to 8,201.14, 11,318.52 and 4,664.87

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Solution

The fourth proportional to 8,201.14, 11,318.52 and 4,664.87 is: 6,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.14 : 11,318.52 = 4,664.87 : x
  2. Step 2: Convert to fraction form
    8,201.14/11,318.52 = 4,664.87/x
  3. Step 3: Cross multiply
    8,201.14x = 11,318.52 × 4,664.87
  4. Step 4: Simplify right side
    8,201.14x = 52,799,424.39
  5. Step 5: Solve for x
    x = 52,799,424.39/8,201.14
  6. Step 6: Final answer
    x = 6,438.06

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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.