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Finding the Fourth Proportional to 7,725.70, 11,589.02 and 2,179.23

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Solution

The fourth proportional to 7,725.70, 11,589.02 and 2,179.23 is: 3,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.70 : 11,589.02 = 2,179.23 : x
  2. Step 2: Convert to fraction form
    7,725.70/11,589.02 = 2,179.23/x
  3. Step 3: Cross multiply
    7,725.70x = 11,589.02 × 2,179.23
  4. Step 4: Simplify right side
    7,725.70x = 25,255,140.05
  5. Step 5: Solve for x
    x = 25,255,140.05/7,725.70
  6. Step 6: Final answer
    x = 3,268.98

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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.