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Finding the Fourth Proportional to 11,381.44, 17,072.34 and 4,457.56

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Solution

The fourth proportional to 11,381.44, 17,072.34 and 4,457.56 is: 6,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.44 : 17,072.34 = 4,457.56 : x
  2. Step 2: Convert to fraction form
    11,381.44/17,072.34 = 4,457.56/x
  3. Step 3: Cross multiply
    11,381.44x = 17,072.34 × 4,457.56
  4. Step 4: Simplify right side
    11,381.44x = 76,100,979.89
  5. Step 5: Solve for x
    x = 76,100,979.89/11,381.44
  6. Step 6: Final answer
    x = 6,686.41

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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.