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Finding the Fourth Proportional to 11,580.56, 17,369.98 and 3,682.76

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Solution

The fourth proportional to 11,580.56, 17,369.98 and 3,682.76 is: 5,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.56 : 17,369.98 = 3,682.76 : x
  2. Step 2: Convert to fraction form
    11,580.56/17,369.98 = 3,682.76/x
  3. Step 3: Cross multiply
    11,580.56x = 17,369.98 × 3,682.76
  4. Step 4: Simplify right side
    11,580.56x = 63,969,467.54
  5. Step 5: Solve for x
    x = 63,969,467.54/11,580.56
  6. Step 6: Final answer
    x = 5,523.87

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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.