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Finding the Fourth Proportional to 8,872.96, 13,362.40 and 7,732.48

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Solution

The fourth proportional to 8,872.96, 13,362.40 and 7,732.48 is: 11,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,872.96 : 13,362.40 = 7,732.48 : x
  2. Step 2: Convert to fraction form
    8,872.96/13,362.40 = 7,732.48/x
  3. Step 3: Cross multiply
    8,872.96x = 13,362.40 × 7,732.48
  4. Step 4: Simplify right side
    8,872.96x = 103,324,490.75
  5. Step 5: Solve for x
    x = 103,324,490.75/8,872.96
  6. Step 6: Final answer
    x = 11,644.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.