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Finding the Fourth Proportional to 11,049.18, 15,247.86 and 6,013.38

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Solution

The fourth proportional to 11,049.18, 15,247.86 and 6,013.38 is: 8,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.18 : 15,247.86 = 6,013.38 : x
  2. Step 2: Convert to fraction form
    11,049.18/15,247.86 = 6,013.38/x
  3. Step 3: Cross multiply
    11,049.18x = 15,247.86 × 6,013.38
  4. Step 4: Simplify right side
    11,049.18x = 91,691,176.37
  5. Step 5: Solve for x
    x = 91,691,176.37/11,049.18
  6. Step 6: Final answer
    x = 8,298.46

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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.