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Finding the Fourth Proportional to 8,137.72, 12,207.48 and 2,589.11

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Solution

The fourth proportional to 8,137.72, 12,207.48 and 2,589.11 is: 3,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.72 : 12,207.48 = 2,589.11 : x
  2. Step 2: Convert to fraction form
    8,137.72/12,207.48 = 2,589.11/x
  3. Step 3: Cross multiply
    8,137.72x = 12,207.48 × 2,589.11
  4. Step 4: Simplify right side
    8,137.72x = 31,606,574.09
  5. Step 5: Solve for x
    x = 31,606,574.09/8,137.72
  6. Step 6: Final answer
    x = 3,883.96

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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.