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Finding the Fourth Proportional to 11,642.40, 17,463.60 and 3,850.20

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Solution

The fourth proportional to 11,642.40, 17,463.60 and 3,850.20 is: 5,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.40 : 17,463.60 = 3,850.20 : x
  2. Step 2: Convert to fraction form
    11,642.40/17,463.60 = 3,850.20/x
  3. Step 3: Cross multiply
    11,642.40x = 17,463.60 × 3,850.20
  4. Step 4: Simplify right side
    11,642.40x = 67,238,352.72
  5. Step 5: Solve for x
    x = 67,238,352.72/11,642.40
  6. Step 6: Final answer
    x = 5,775.30

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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.