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Finding the Fourth Proportional to 11,415.20, 15,754.11 and 6,699.38

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Solution

The fourth proportional to 11,415.20, 15,754.11 and 6,699.38 is: 9,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.20 : 15,754.11 = 6,699.38 : x
  2. Step 2: Convert to fraction form
    11,415.20/15,754.11 = 6,699.38/x
  3. Step 3: Cross multiply
    11,415.20x = 15,754.11 × 6,699.38
  4. Step 4: Simplify right side
    11,415.20x = 105,542,769.45
  5. Step 5: Solve for x
    x = 105,542,769.45/11,415.20
  6. Step 6: Final answer
    x = 9,245.81

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Why These Related Problems?

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