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Finding the Fourth Proportional to 10,553.76, 15,832.80 and 3,627.36

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Solution

The fourth proportional to 10,553.76, 15,832.80 and 3,627.36 is: 5,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.76 : 15,832.80 = 3,627.36 : x
  2. Step 2: Convert to fraction form
    10,553.76/15,832.80 = 3,627.36/x
  3. Step 3: Cross multiply
    10,553.76x = 15,832.80 × 3,627.36
  4. Step 4: Simplify right side
    10,553.76x = 57,431,265.41
  5. Step 5: Solve for x
    x = 57,431,265.41/10,553.76
  6. Step 6: Final answer
    x = 5,441.78

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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.