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Finding the Fourth Proportional to 10,803.67, 16,204.96 and 4,231.06

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Solution

The fourth proportional to 10,803.67, 16,204.96 and 4,231.06 is: 6,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.67 : 16,204.96 = 4,231.06 : x
  2. Step 2: Convert to fraction form
    10,803.67/16,204.96 = 4,231.06/x
  3. Step 3: Cross multiply
    10,803.67x = 16,204.96 × 4,231.06
  4. Step 4: Simplify right side
    10,803.67x = 68,564,158.06
  5. Step 5: Solve for x
    x = 68,564,158.06/10,803.67
  6. Step 6: Final answer
    x = 6,346.38

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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.