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Finding the Fourth Proportional to 7,814.28, 11,725.02 and 3,921.48

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Solution

The fourth proportional to 7,814.28, 11,725.02 and 3,921.48 is: 5,884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.28 : 11,725.02 = 3,921.48 : x
  2. Step 2: Convert to fraction form
    7,814.28/11,725.02 = 3,921.48/x
  3. Step 3: Cross multiply
    7,814.28x = 11,725.02 × 3,921.48
  4. Step 4: Simplify right side
    7,814.28x = 45,979,431.43
  5. Step 5: Solve for x
    x = 45,979,431.43/7,814.28
  6. Step 6: Final answer
    x = 5,884.03

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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.