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Finding the Fourth Proportional to 11,438.72, 17,157.90 and 3,647.48

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Solution

The fourth proportional to 11,438.72, 17,157.90 and 3,647.48 is: 5,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.72 : 17,157.90 = 3,647.48 : x
  2. Step 2: Convert to fraction form
    11,438.72/17,157.90 = 3,647.48/x
  3. Step 3: Cross multiply
    11,438.72x = 17,157.90 × 3,647.48
  4. Step 4: Simplify right side
    11,438.72x = 62,583,097.09
  5. Step 5: Solve for x
    x = 62,583,097.09/11,438.72
  6. Step 6: Final answer
    x = 5,471.16

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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.