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Finding the Fourth Proportional to 11,249.42, 15,526.10 and 6,536.44

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Solution

The fourth proportional to 11,249.42, 15,526.10 and 6,536.44 is: 9,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.42 : 15,526.10 = 6,536.44 : x
  2. Step 2: Convert to fraction form
    11,249.42/15,526.10 = 6,536.44/x
  3. Step 3: Cross multiply
    11,249.42x = 15,526.10 × 6,536.44
  4. Step 4: Simplify right side
    11,249.42x = 101,485,359.79
  5. Step 5: Solve for x
    x = 101,485,359.79/11,249.42
  6. Step 6: Final answer
    x = 9,021.39

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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.