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Finding the Fourth Proportional to 7,634.96, 11,453.67 and 3,739.67

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Solution

The fourth proportional to 7,634.96, 11,453.67 and 3,739.67 is: 5,610.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.96 : 11,453.67 = 3,739.67 : x
  2. Step 2: Convert to fraction form
    7,634.96/11,453.67 = 3,739.67/x
  3. Step 3: Cross multiply
    7,634.96x = 11,453.67 × 3,739.67
  4. Step 4: Simplify right side
    7,634.96x = 42,832,946.09
  5. Step 5: Solve for x
    x = 42,832,946.09/7,634.96
  6. Step 6: Final answer
    x = 5,610.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.