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Finding the Fourth Proportional to 7,629.94, 11,449.23 and 3,525.94

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Solution

The fourth proportional to 7,629.94, 11,449.23 and 3,525.94 is: 5,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.94 : 11,449.23 = 3,525.94 : x
  2. Step 2: Convert to fraction form
    7,629.94/11,449.23 = 3,525.94/x
  3. Step 3: Cross multiply
    7,629.94x = 11,449.23 × 3,525.94
  4. Step 4: Simplify right side
    7,629.94x = 40,369,269.40
  5. Step 5: Solve for x
    x = 40,369,269.40/7,629.94
  6. Step 6: Final answer
    x = 5,290.90

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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.