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Finding the Fourth Proportional to 7,751.94, 11,629.35 and 3,589.20

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Solution

The fourth proportional to 7,751.94, 11,629.35 and 3,589.20 is: 5,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.94 : 11,629.35 = 3,589.20 : x
  2. Step 2: Convert to fraction form
    7,751.94/11,629.35 = 3,589.20/x
  3. Step 3: Cross multiply
    7,751.94x = 11,629.35 × 3,589.20
  4. Step 4: Simplify right side
    7,751.94x = 41,740,063.02
  5. Step 5: Solve for x
    x = 41,740,063.02/7,751.94
  6. Step 6: Final answer
    x = 5,384.47

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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.