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Finding the Fourth Proportional to 7,682.10, 11,523.42 and 2,487.84

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Solution

The fourth proportional to 7,682.10, 11,523.42 and 2,487.84 is: 3,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.10 : 11,523.42 = 2,487.84 : x
  2. Step 2: Convert to fraction form
    7,682.10/11,523.42 = 2,487.84/x
  3. Step 3: Cross multiply
    7,682.10x = 11,523.42 × 2,487.84
  4. Step 4: Simplify right side
    7,682.10x = 28,668,425.21
  5. Step 5: Solve for x
    x = 28,668,425.21/7,682.10
  6. Step 6: Final answer
    x = 3,731.85

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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.