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Finding the Fourth Proportional to 11,454.55, 17,188.43 and 6,189.57

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Solution

The fourth proportional to 11,454.55, 17,188.43 and 6,189.57 is: 9,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.55 : 17,188.43 = 6,189.57 : x
  2. Step 2: Convert to fraction form
    11,454.55/17,188.43 = 6,189.57/x
  3. Step 3: Cross multiply
    11,454.55x = 17,188.43 × 6,189.57
  4. Step 4: Simplify right side
    11,454.55x = 106,388,990.68
  5. Step 5: Solve for x
    x = 106,388,990.68/11,454.55
  6. Step 6: Final answer
    x = 9,287.92

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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.