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Finding the Fourth Proportional to 8,138.81, 11,231.25 and 4,602.11

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Solution

The fourth proportional to 8,138.81, 11,231.25 and 4,602.11 is: 6,350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.81 : 11,231.25 = 4,602.11 : x
  2. Step 2: Convert to fraction form
    8,138.81/11,231.25 = 4,602.11/x
  3. Step 3: Cross multiply
    8,138.81x = 11,231.25 × 4,602.11
  4. Step 4: Simplify right side
    8,138.81x = 51,687,391.78
  5. Step 5: Solve for x
    x = 51,687,391.78/8,138.81
  6. Step 6: Final answer
    x = 6,350.73

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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.