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Finding the Fourth Proportional to 10,832.05, 16,245.74 and 6,326.10

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Solution

The fourth proportional to 10,832.05, 16,245.74 and 6,326.10 is: 9,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.05 : 16,245.74 = 6,326.10 : x
  2. Step 2: Convert to fraction form
    10,832.05/16,245.74 = 6,326.10/x
  3. Step 3: Cross multiply
    10,832.05x = 16,245.74 × 6,326.10
  4. Step 4: Simplify right side
    10,832.05x = 102,772,144.18
  5. Step 5: Solve for x
    x = 102,772,144.18/10,832.05
  6. Step 6: Final answer
    x = 9,487.78

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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.