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Finding the Fourth Proportional to 11,813.80, 17,723.10 and 4,023.40

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Solution

The fourth proportional to 11,813.80, 17,723.10 and 4,023.40 is: 6,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.80 : 17,723.10 = 4,023.40 : x
  2. Step 2: Convert to fraction form
    11,813.80/17,723.10 = 4,023.40/x
  3. Step 3: Cross multiply
    11,813.80x = 17,723.10 × 4,023.40
  4. Step 4: Simplify right side
    11,813.80x = 71,307,120.54
  5. Step 5: Solve for x
    x = 71,307,120.54/11,813.80
  6. Step 6: Final answer
    x = 6,035.92

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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.