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Finding the Fourth Proportional to 7,431.75, 10,256.02 and 4,288.14

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Solution

The fourth proportional to 7,431.75, 10,256.02 and 4,288.14 is: 5,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.75 : 10,256.02 = 4,288.14 : x
  2. Step 2: Convert to fraction form
    7,431.75/10,256.02 = 4,288.14/x
  3. Step 3: Cross multiply
    7,431.75x = 10,256.02 × 4,288.14
  4. Step 4: Simplify right side
    7,431.75x = 43,979,238.88
  5. Step 5: Solve for x
    x = 43,979,238.88/7,431.75
  6. Step 6: Final answer
    x = 5,917.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.