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Finding the Fourth Proportional to 11,013.64, 15,198.76 and 5,977.84

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Solution

The fourth proportional to 11,013.64, 15,198.76 and 5,977.84 is: 8,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.64 : 15,198.76 = 5,977.84 : x
  2. Step 2: Convert to fraction form
    11,013.64/15,198.76 = 5,977.84/x
  3. Step 3: Cross multiply
    11,013.64x = 15,198.76 × 5,977.84
  4. Step 4: Simplify right side
    11,013.64x = 90,855,755.48
  5. Step 5: Solve for x
    x = 90,855,755.48/11,013.64
  6. Step 6: Final answer
    x = 8,249.38

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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.