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Finding the Fourth Proportional to 11,808.72, 17,693.28 and 7,182

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Solution

The fourth proportional to 11,808.72, 17,693.28 and 7,182 is: 10,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.72 : 17,693.28 = 7,182 : x
  2. Step 2: Convert to fraction form
    11,808.72/17,693.28 = 7,182/x
  3. Step 3: Cross multiply
    11,808.72x = 17,693.28 × 7,182
  4. Step 4: Simplify right side
    11,808.72x = 127,073,136.96
  5. Step 5: Solve for x
    x = 127,073,136.96/11,808.72
  6. Step 6: Final answer
    x = 10,760.96

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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.