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Finding the Fourth Proportional to 11,817.56, 17,727.42 and 5,970.44

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Solution

The fourth proportional to 11,817.56, 17,727.42 and 5,970.44 is: 8,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.56 : 17,727.42 = 5,970.44 : x
  2. Step 2: Convert to fraction form
    11,817.56/17,727.42 = 5,970.44/x
  3. Step 3: Cross multiply
    11,817.56x = 17,727.42 × 5,970.44
  4. Step 4: Simplify right side
    11,817.56x = 105,840,497.46
  5. Step 5: Solve for x
    x = 105,840,497.46/11,817.56
  6. Step 6: Final answer
    x = 8,956.21

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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.