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Finding the Fourth Proportional to 8,102.00, 11,180.29 and 4,516.83

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Solution

The fourth proportional to 8,102.00, 11,180.29 and 4,516.83 is: 6,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.00 : 11,180.29 = 4,516.83 : x
  2. Step 2: Convert to fraction form
    8,102.00/11,180.29 = 4,516.83/x
  3. Step 3: Cross multiply
    8,102.00x = 11,180.29 × 4,516.83
  4. Step 4: Simplify right side
    8,102.00x = 50,499,446.70
  5. Step 5: Solve for x
    x = 50,499,446.70/8,102.00
  6. Step 6: Final answer
    x = 6,232.96

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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.