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Finding the Fourth Proportional to 11,641.57, 17,462.35 and 3,850.38

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Solution

The fourth proportional to 11,641.57, 17,462.35 and 3,850.38 is: 5,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.57 : 17,462.35 = 3,850.38 : x
  2. Step 2: Convert to fraction form
    11,641.57/17,462.35 = 3,850.38/x
  3. Step 3: Cross multiply
    11,641.57x = 17,462.35 × 3,850.38
  4. Step 4: Simplify right side
    11,641.57x = 67,236,673.57
  5. Step 5: Solve for x
    x = 67,236,673.57/11,641.57
  6. Step 6: Final answer
    x = 5,775.57

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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.