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Finding the Fourth Proportional to 10,714.14, 16,070.31 and 3,694.14

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Solution

The fourth proportional to 10,714.14, 16,070.31 and 3,694.14 is: 5,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.14 : 16,070.31 = 3,694.14 : x
  2. Step 2: Convert to fraction form
    10,714.14/16,070.31 = 3,694.14/x
  3. Step 3: Cross multiply
    10,714.14x = 16,070.31 × 3,694.14
  4. Step 4: Simplify right side
    10,714.14x = 59,365,974.98
  5. Step 5: Solve for x
    x = 59,365,974.98/10,714.14
  6. Step 6: Final answer
    x = 5,540.90

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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.