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Finding the Fourth Proportional to 11,717.96, 17,567.30 and 5,474.88

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Solution

The fourth proportional to 11,717.96, 17,567.30 and 5,474.88 is: 8,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.96 : 17,567.30 = 5,474.88 : x
  2. Step 2: Convert to fraction form
    11,717.96/17,567.30 = 5,474.88/x
  3. Step 3: Cross multiply
    11,717.96x = 17,567.30 × 5,474.88
  4. Step 4: Simplify right side
    11,717.96x = 96,178,873.11
  5. Step 5: Solve for x
    x = 96,178,873.11/11,717.96
  6. Step 6: Final answer
    x = 8,207.82

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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.