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Finding the Fourth Proportional to 7,652.43, 11,481.89 and 4,185.63

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Solution

The fourth proportional to 7,652.43, 11,481.89 and 4,185.63 is: 6,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.43 : 11,481.89 = 4,185.63 : x
  2. Step 2: Convert to fraction form
    7,652.43/11,481.89 = 4,185.63/x
  3. Step 3: Cross multiply
    7,652.43x = 11,481.89 × 4,185.63
  4. Step 4: Simplify right side
    7,652.43x = 48,058,922.31
  5. Step 5: Solve for x
    x = 48,058,922.31/7,652.43
  6. Step 6: Final answer
    x = 6,280.22

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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.