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Finding the Fourth Proportional to 7,682.07, 11,516.24 and 3,000.99

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Solution

The fourth proportional to 7,682.07, 11,516.24 and 3,000.99 is: 4,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.07 : 11,516.24 = 3,000.99 : x
  2. Step 2: Convert to fraction form
    7,682.07/11,516.24 = 3,000.99/x
  3. Step 3: Cross multiply
    7,682.07x = 11,516.24 × 3,000.99
  4. Step 4: Simplify right side
    7,682.07x = 34,560,106.07
  5. Step 5: Solve for x
    x = 34,560,106.07/7,682.07
  6. Step 6: Final answer
    x = 4,498.80

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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.