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Finding the Fourth Proportional to 11,782.56, 17,673.84 and 5,538.69

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Solution

The fourth proportional to 11,782.56, 17,673.84 and 5,538.69 is: 8,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.56 : 17,673.84 = 5,538.69 : x
  2. Step 2: Convert to fraction form
    11,782.56/17,673.84 = 5,538.69/x
  3. Step 3: Cross multiply
    11,782.56x = 17,673.84 × 5,538.69
  4. Step 4: Simplify right side
    11,782.56x = 97,889,920.87
  5. Step 5: Solve for x
    x = 97,889,920.87/11,782.56
  6. Step 6: Final answer
    x = 8,308.04

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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.