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Finding the Fourth Proportional to 8,101.71, 11,180.50 and 4,516.67

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Solution

The fourth proportional to 8,101.71, 11,180.50 and 4,516.67 is: 6,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.71 : 11,180.50 = 4,516.67 : x
  2. Step 2: Convert to fraction form
    8,101.71/11,180.50 = 4,516.67/x
  3. Step 3: Cross multiply
    8,101.71x = 11,180.50 × 4,516.67
  4. Step 4: Simplify right side
    8,101.71x = 50,498,645.59
  5. Step 5: Solve for x
    x = 50,498,645.59/8,101.71
  6. Step 6: Final answer
    x = 6,233.08

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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.