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Finding the Fourth Proportional to 11,714.42, 17,574.21 and 5,471.03

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Solution

The fourth proportional to 11,714.42, 17,574.21 and 5,471.03 is: 8,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.42 : 17,574.21 = 5,471.03 : x
  2. Step 2: Convert to fraction form
    11,714.42/17,574.21 = 5,471.03/x
  3. Step 3: Cross multiply
    11,714.42x = 17,574.21 × 5,471.03
  4. Step 4: Simplify right side
    11,714.42x = 96,148,942.27
  5. Step 5: Solve for x
    x = 96,148,942.27/11,714.42
  6. Step 6: Final answer
    x = 8,207.75

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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.