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Finding the Fourth Proportional to 10,905.11, 15,049.82 and 6,189.69

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Solution

The fourth proportional to 10,905.11, 15,049.82 and 6,189.69 is: 8,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.11 : 15,049.82 = 6,189.69 : x
  2. Step 2: Convert to fraction form
    10,905.11/15,049.82 = 6,189.69/x
  3. Step 3: Cross multiply
    10,905.11x = 15,049.82 × 6,189.69
  4. Step 4: Simplify right side
    10,905.11x = 93,153,735.83
  5. Step 5: Solve for x
    x = 93,153,735.83/10,905.11
  6. Step 6: Final answer
    x = 8,542.21

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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.