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Finding the Fourth Proportional to 10,672.50, 14,728.86 and 6,481.56

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Solution

The fourth proportional to 10,672.50, 14,728.86 and 6,481.56 is: 8,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.50 : 14,728.86 = 6,481.56 : x
  2. Step 2: Convert to fraction form
    10,672.50/14,728.86 = 6,481.56/x
  3. Step 3: Cross multiply
    10,672.50x = 14,728.86 × 6,481.56
  4. Step 4: Simplify right side
    10,672.50x = 95,465,989.82
  5. Step 5: Solve for x
    x = 95,465,989.82/10,672.50
  6. Step 6: Final answer
    x = 8,945.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.