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Finding the Fourth Proportional to 11,763.85, 17,645.81 and 2,998.81

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Solution

The fourth proportional to 11,763.85, 17,645.81 and 2,998.81 is: 4,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.85 : 17,645.81 = 2,998.81 : x
  2. Step 2: Convert to fraction form
    11,763.85/17,645.81 = 2,998.81/x
  3. Step 3: Cross multiply
    11,763.85x = 17,645.81 × 2,998.81
  4. Step 4: Simplify right side
    11,763.85x = 52,916,431.49
  5. Step 5: Solve for x
    x = 52,916,431.49/11,763.85
  6. Step 6: Final answer
    x = 4,498.22

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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.