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Finding the Fourth Proportional to 11,714.31, 17,564.16 and 5,471.64

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Solution

The fourth proportional to 11,714.31, 17,564.16 and 5,471.64 is: 8,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.31 : 17,564.16 = 5,471.64 : x
  2. Step 2: Convert to fraction form
    11,714.31/17,564.16 = 5,471.64/x
  3. Step 3: Cross multiply
    11,714.31x = 17,564.16 × 5,471.64
  4. Step 4: Simplify right side
    11,714.31x = 96,104,760.42
  5. Step 5: Solve for x
    x = 96,104,760.42/11,714.31
  6. Step 6: Final answer
    x = 8,204.05

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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.