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Finding the Fourth Proportional to 11,536.62, 15,920.54 and 6,231.43

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Solution

The fourth proportional to 11,536.62, 15,920.54 and 6,231.43 is: 8,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.62 : 15,920.54 = 6,231.43 : x
  2. Step 2: Convert to fraction form
    11,536.62/15,920.54 = 6,231.43/x
  3. Step 3: Cross multiply
    11,536.62x = 15,920.54 × 6,231.43
  4. Step 4: Simplify right side
    11,536.62x = 99,207,742.68
  5. Step 5: Solve for x
    x = 99,207,742.68/11,536.62
  6. Step 6: Final answer
    x = 8,599.38

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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.