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Finding the Fourth Proportional to 11,786.03, 17,653.62 and 5,536.68

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Solution

The fourth proportional to 11,786.03, 17,653.62 and 5,536.68 is: 8,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.03 : 17,653.62 = 5,536.68 : x
  2. Step 2: Convert to fraction form
    11,786.03/17,653.62 = 5,536.68/x
  3. Step 3: Cross multiply
    11,786.03x = 17,653.62 × 5,536.68
  4. Step 4: Simplify right side
    11,786.03x = 97,742,433.42
  5. Step 5: Solve for x
    x = 97,742,433.42/11,786.03
  6. Step 6: Final answer
    x = 8,293.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.