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Finding the Fourth Proportional to 7,672.56, 11,493.72 and 7,132.56

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Solution

The fourth proportional to 7,672.56, 11,493.72 and 7,132.56 is: 10,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.56 : 11,493.72 = 7,132.56 : x
  2. Step 2: Convert to fraction form
    7,672.56/11,493.72 = 7,132.56/x
  3. Step 3: Cross multiply
    7,672.56x = 11,493.72 × 7,132.56
  4. Step 4: Simplify right side
    7,672.56x = 81,979,647.52
  5. Step 5: Solve for x
    x = 81,979,647.52/7,672.56
  6. Step 6: Final answer
    x = 10,684.78

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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.