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Finding the Fourth Proportional to 11,546.75, 17,325.90 and 4,152.87

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Solution

The fourth proportional to 11,546.75, 17,325.90 and 4,152.87 is: 6,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.75 : 17,325.90 = 4,152.87 : x
  2. Step 2: Convert to fraction form
    11,546.75/17,325.90 = 4,152.87/x
  3. Step 3: Cross multiply
    11,546.75x = 17,325.90 × 4,152.87
  4. Step 4: Simplify right side
    11,546.75x = 71,952,210.33
  5. Step 5: Solve for x
    x = 71,952,210.33/11,546.75
  6. Step 6: Final answer
    x = 6,231.38

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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.