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Finding the Fourth Proportional to 11,538.72, 17,308.44 and 3,641.31

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Solution

The fourth proportional to 11,538.72, 17,308.44 and 3,641.31 is: 5,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.72 : 17,308.44 = 3,641.31 : x
  2. Step 2: Convert to fraction form
    11,538.72/17,308.44 = 3,641.31/x
  3. Step 3: Cross multiply
    11,538.72x = 17,308.44 × 3,641.31
  4. Step 4: Simplify right side
    11,538.72x = 63,025,290.91
  5. Step 5: Solve for x
    x = 63,025,290.91/11,538.72
  6. Step 6: Final answer
    x = 5,462.07

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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.