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Finding the Fourth Proportional to 11,813.13, 17,719.83 and 4,793.31

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Solution

The fourth proportional to 11,813.13, 17,719.83 and 4,793.31 is: 7,190.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.13 : 17,719.83 = 4,793.31 : x
  2. Step 2: Convert to fraction form
    11,813.13/17,719.83 = 4,793.31/x
  3. Step 3: Cross multiply
    11,813.13x = 17,719.83 × 4,793.31
  4. Step 4: Simplify right side
    11,813.13x = 84,936,638.34
  5. Step 5: Solve for x
    x = 84,936,638.34/11,813.13
  6. Step 6: Final answer
    x = 7,190.02

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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.