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Finding the Fourth Proportional to 7,714.96, 11,571.25 and 2,449.28

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Solution

The fourth proportional to 7,714.96, 11,571.25 and 2,449.28 is: 3,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.96 : 11,571.25 = 2,449.28 : x
  2. Step 2: Convert to fraction form
    7,714.96/11,571.25 = 2,449.28/x
  3. Step 3: Cross multiply
    7,714.96x = 11,571.25 × 2,449.28
  4. Step 4: Simplify right side
    7,714.96x = 28,341,193.51
  5. Step 5: Solve for x
    x = 28,341,193.51/7,714.96
  6. Step 6: Final answer
    x = 3,673.54

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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.