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Finding the Fourth Proportional to 7,714.46, 11,568.78 and 2,782.88

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Solution

The fourth proportional to 7,714.46, 11,568.78 and 2,782.88 is: 4,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.46 : 11,568.78 = 2,782.88 : x
  2. Step 2: Convert to fraction form
    7,714.46/11,568.78 = 2,782.88/x
  3. Step 3: Cross multiply
    7,714.46x = 11,568.78 × 2,782.88
  4. Step 4: Simplify right side
    7,714.46x = 32,194,526.49
  5. Step 5: Solve for x
    x = 32,194,526.49/7,714.46
  6. Step 6: Final answer
    x = 4,173.27

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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.