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Finding the Fourth Proportional to 7,744.96, 11,629.28 and 6,828.24

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Solution

The fourth proportional to 7,744.96, 11,629.28 and 6,828.24 is: 10,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.96 : 11,629.28 = 6,828.24 : x
  2. Step 2: Convert to fraction form
    7,744.96/11,629.28 = 6,828.24/x
  3. Step 3: Cross multiply
    7,744.96x = 11,629.28 × 6,828.24
  4. Step 4: Simplify right side
    7,744.96x = 79,407,531.94
  5. Step 5: Solve for x
    x = 79,407,531.94/7,744.96
  6. Step 6: Final answer
    x = 10,252.80

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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.