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Finding the Fourth Proportional to 7,714.44, 11,568.87 and 2,782.76

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Solution

The fourth proportional to 7,714.44, 11,568.87 and 2,782.76 is: 4,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.44 : 11,568.87 = 2,782.76 : x
  2. Step 2: Convert to fraction form
    7,714.44/11,568.87 = 2,782.76/x
  3. Step 3: Cross multiply
    7,714.44x = 11,568.87 × 2,782.76
  4. Step 4: Simplify right side
    7,714.44x = 32,193,388.68
  5. Step 5: Solve for x
    x = 32,193,388.68/7,714.44
  6. Step 6: Final answer
    x = 4,173.13

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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.