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Finding the Fourth Proportional to 6,714.39, 10,071.59 and 2,553.44

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Solution

The fourth proportional to 6,714.39, 10,071.59 and 2,553.44 is: 3,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.39 : 10,071.59 = 2,553.44 : x
  2. Step 2: Convert to fraction form
    6,714.39/10,071.59 = 2,553.44/x
  3. Step 3: Cross multiply
    6,714.39x = 10,071.59 × 2,553.44
  4. Step 4: Simplify right side
    6,714.39x = 25,717,137.64
  5. Step 5: Solve for x
    x = 25,717,137.64/6,714.39
  6. Step 6: Final answer
    x = 3,830.15

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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.