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Finding the Fourth Proportional to 11,462.27, 17,171.44 and 7,758.11

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Solution

The fourth proportional to 11,462.27, 17,171.44 and 7,758.11 is: 11,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.27 : 17,171.44 = 7,758.11 : x
  2. Step 2: Convert to fraction form
    11,462.27/17,171.44 = 7,758.11/x
  3. Step 3: Cross multiply
    11,462.27x = 17,171.44 × 7,758.11
  4. Step 4: Simplify right side
    11,462.27x = 133,217,920.38
  5. Step 5: Solve for x
    x = 133,217,920.38/11,462.27
  6. Step 6: Final answer
    x = 11,622.30

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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.