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Finding the Fourth Proportional to 11,537.17, 17,308.19 and 3,745.38

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Solution

The fourth proportional to 11,537.17, 17,308.19 and 3,745.38 is: 5,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.17 : 17,308.19 = 3,745.38 : x
  2. Step 2: Convert to fraction form
    11,537.17/17,308.19 = 3,745.38/x
  3. Step 3: Cross multiply
    11,537.17x = 17,308.19 × 3,745.38
  4. Step 4: Simplify right side
    11,537.17x = 64,825,748.66
  5. Step 5: Solve for x
    x = 64,825,748.66/11,537.17
  6. Step 6: Final answer
    x = 5,618.86

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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.