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Finding the Fourth Proportional to 7,682.67, 11,519.84 and 4,929.21

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Solution

The fourth proportional to 7,682.67, 11,519.84 and 4,929.21 is: 7,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.67 : 11,519.84 = 4,929.21 : x
  2. Step 2: Convert to fraction form
    7,682.67/11,519.84 = 4,929.21/x
  3. Step 3: Cross multiply
    7,682.67x = 11,519.84 × 4,929.21
  4. Step 4: Simplify right side
    7,682.67x = 56,783,685.88
  5. Step 5: Solve for x
    x = 56,783,685.88/7,682.67
  6. Step 6: Final answer
    x = 7,391.14

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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.