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Finding the Fourth Proportional to 10,905.68, 15,049.32 and 6,189.32

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Solution

The fourth proportional to 10,905.68, 15,049.32 and 6,189.32 is: 8,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.68 : 15,049.32 = 6,189.32 : x
  2. Step 2: Convert to fraction form
    10,905.68/15,049.32 = 6,189.32/x
  3. Step 3: Cross multiply
    10,905.68x = 15,049.32 × 6,189.32
  4. Step 4: Simplify right side
    10,905.68x = 93,145,057.26
  5. Step 5: Solve for x
    x = 93,145,057.26/10,905.68
  6. Step 6: Final answer
    x = 8,540.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.