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Finding the Fourth Proportional to 8,402.31, 12,604.11 and 2,162.38

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Solution

The fourth proportional to 8,402.31, 12,604.11 and 2,162.38 is: 3,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.31 : 12,604.11 = 2,162.38 : x
  2. Step 2: Convert to fraction form
    8,402.31/12,604.11 = 2,162.38/x
  3. Step 3: Cross multiply
    8,402.31x = 12,604.11 × 2,162.38
  4. Step 4: Simplify right side
    8,402.31x = 27,254,852.75
  5. Step 5: Solve for x
    x = 27,254,852.75/8,402.31
  6. Step 6: Final answer
    x = 3,243.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.