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Finding the Fourth Proportional to 11,212.13, 15,474.56 and 6,499.14

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Solution

The fourth proportional to 11,212.13, 15,474.56 and 6,499.14 is: 8,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.13 : 15,474.56 = 6,499.14 : x
  2. Step 2: Convert to fraction form
    11,212.13/15,474.56 = 6,499.14/x
  3. Step 3: Cross multiply
    11,212.13x = 15,474.56 × 6,499.14
  4. Step 4: Simplify right side
    11,212.13x = 100,571,299.38
  5. Step 5: Solve for x
    x = 100,571,299.38/11,212.13
  6. Step 6: Final answer
    x = 8,969.87

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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.