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Finding the Fourth Proportional to 8,825.71, 13,238.67 and 2,251.96

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Solution

The fourth proportional to 8,825.71, 13,238.67 and 2,251.96 is: 3,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.71 : 13,238.67 = 2,251.96 : x
  2. Step 2: Convert to fraction form
    8,825.71/13,238.67 = 2,251.96/x
  3. Step 3: Cross multiply
    8,825.71x = 13,238.67 × 2,251.96
  4. Step 4: Simplify right side
    8,825.71x = 29,812,955.29
  5. Step 5: Solve for x
    x = 29,812,955.29/8,825.71
  6. Step 6: Final answer
    x = 3,377.97

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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.