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Finding the Fourth Proportional to 8,141.28, 11,231.08 and 4,738.29

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Solution

The fourth proportional to 8,141.28, 11,231.08 and 4,738.29 is: 6,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.28 : 11,231.08 = 4,738.29 : x
  2. Step 2: Convert to fraction form
    8,141.28/11,231.08 = 4,738.29/x
  3. Step 3: Cross multiply
    8,141.28x = 11,231.08 × 4,738.29
  4. Step 4: Simplify right side
    8,141.28x = 53,216,114.05
  5. Step 5: Solve for x
    x = 53,216,114.05/8,141.28
  6. Step 6: Final answer
    x = 6,536.58

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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.