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Finding the Fourth Proportional to 11,788.93, 17,677.72 and 6,859.68

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Solution

The fourth proportional to 11,788.93, 17,677.72 and 6,859.68 is: 10,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.93 : 17,677.72 = 6,859.68 : x
  2. Step 2: Convert to fraction form
    11,788.93/17,677.72 = 6,859.68/x
  3. Step 3: Cross multiply
    11,788.93x = 17,677.72 × 6,859.68
  4. Step 4: Simplify right side
    11,788.93x = 121,263,502.33
  5. Step 5: Solve for x
    x = 121,263,502.33/11,788.93
  6. Step 6: Final answer
    x = 10,286.22

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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.