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Finding the Fourth Proportional to 11,496.10, 17,243.81 and 3,176.62

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Solution

The fourth proportional to 11,496.10, 17,243.81 and 3,176.62 is: 4,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.10 : 17,243.81 = 3,176.62 : x
  2. Step 2: Convert to fraction form
    11,496.10/17,243.81 = 3,176.62/x
  3. Step 3: Cross multiply
    11,496.10x = 17,243.81 × 3,176.62
  4. Step 4: Simplify right side
    11,496.10x = 54,777,031.72
  5. Step 5: Solve for x
    x = 54,777,031.72/11,496.10
  6. Step 6: Final answer
    x = 4,764.84

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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.