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Finding the Fourth Proportional to 8,462.98, 12,694.43 and 2,137.87

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Solution

The fourth proportional to 8,462.98, 12,694.43 and 2,137.87 is: 3,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.98 : 12,694.43 = 2,137.87 : x
  2. Step 2: Convert to fraction form
    8,462.98/12,694.43 = 2,137.87/x
  3. Step 3: Cross multiply
    8,462.98x = 12,694.43 × 2,137.87
  4. Step 4: Simplify right side
    8,462.98x = 27,139,030.37
  5. Step 5: Solve for x
    x = 27,139,030.37/8,462.98
  6. Step 6: Final answer
    x = 3,206.79

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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.