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Finding the Fourth Proportional to 6,959.28, 10,431.72 and 3,494.64

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Solution

The fourth proportional to 6,959.28, 10,431.72 and 3,494.64 is: 5,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.28 : 10,431.72 = 3,494.64 : x
  2. Step 2: Convert to fraction form
    6,959.28/10,431.72 = 3,494.64/x
  3. Step 3: Cross multiply
    6,959.28x = 10,431.72 × 3,494.64
  4. Step 4: Simplify right side
    6,959.28x = 36,455,105.98
  5. Step 5: Solve for x
    x = 36,455,105.98/6,959.28
  6. Step 6: Final answer
    x = 5,238.34

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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.