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Finding the Fourth Proportional to 11,548.62, 17,318.34 and 4,150.80

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Solution

The fourth proportional to 11,548.62, 17,318.34 and 4,150.80 is: 6,224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.62 : 17,318.34 = 4,150.80 : x
  2. Step 2: Convert to fraction form
    11,548.62/17,318.34 = 4,150.80/x
  3. Step 3: Cross multiply
    11,548.62x = 17,318.34 × 4,150.80
  4. Step 4: Simplify right side
    11,548.62x = 71,884,965.67
  5. Step 5: Solve for x
    x = 71,884,965.67/11,548.62
  6. Step 6: Final answer
    x = 6,224.55

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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.