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Finding the Fourth Proportional to 7,150.26, 10,725.96 and 1,956

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Solution

The fourth proportional to 7,150.26, 10,725.96 and 1,956 is: 2,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.26 : 10,725.96 = 1,956 : x
  2. Step 2: Convert to fraction form
    7,150.26/10,725.96 = 1,956/x
  3. Step 3: Cross multiply
    7,150.26x = 10,725.96 × 1,956
  4. Step 4: Simplify right side
    7,150.26x = 20,979,977.76
  5. Step 5: Solve for x
    x = 20,979,977.76/7,150.26
  6. Step 6: Final answer
    x = 2,934.16

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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.