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Finding the Fourth Proportional to 7,828.84, 11,744.48 and 2,634.31

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Solution

The fourth proportional to 7,828.84, 11,744.48 and 2,634.31 is: 3,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.84 : 11,744.48 = 2,634.31 : x
  2. Step 2: Convert to fraction form
    7,828.84/11,744.48 = 2,634.31/x
  3. Step 3: Cross multiply
    7,828.84x = 11,744.48 × 2,634.31
  4. Step 4: Simplify right side
    7,828.84x = 30,938,627.18
  5. Step 5: Solve for x
    x = 30,938,627.18/7,828.84
  6. Step 6: Final answer
    x = 3,951.88

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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.