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Finding the Fourth Proportional to 7,636.81, 11,455.44 and 2,709.85

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Solution

The fourth proportional to 7,636.81, 11,455.44 and 2,709.85 is: 4,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.81 : 11,455.44 = 2,709.85 : x
  2. Step 2: Convert to fraction form
    7,636.81/11,455.44 = 2,709.85/x
  3. Step 3: Cross multiply
    7,636.81x = 11,455.44 × 2,709.85
  4. Step 4: Simplify right side
    7,636.81x = 31,042,524.08
  5. Step 5: Solve for x
    x = 31,042,524.08/7,636.81
  6. Step 6: Final answer
    x = 4,064.85

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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.