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Finding the Fourth Proportional to 7,684.56, 11,525.63 and 2,138.49

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Solution

The fourth proportional to 7,684.56, 11,525.63 and 2,138.49 is: 3,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.56 : 11,525.63 = 2,138.49 : x
  2. Step 2: Convert to fraction form
    7,684.56/11,525.63 = 2,138.49/x
  3. Step 3: Cross multiply
    7,684.56x = 11,525.63 × 2,138.49
  4. Step 4: Simplify right side
    7,684.56x = 24,647,433.81
  5. Step 5: Solve for x
    x = 24,647,433.81/7,684.56
  6. Step 6: Final answer
    x = 3,207.40

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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.