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Finding the Fourth Proportional to 11,813.88, 17,723.34 and 5,893.95

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Solution

The fourth proportional to 11,813.88, 17,723.34 and 5,893.95 is: 8,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.88 : 17,723.34 = 5,893.95 : x
  2. Step 2: Convert to fraction form
    11,813.88/17,723.34 = 5,893.95/x
  3. Step 3: Cross multiply
    11,813.88x = 17,723.34 × 5,893.95
  4. Step 4: Simplify right side
    11,813.88x = 104,460,479.79
  5. Step 5: Solve for x
    x = 104,460,479.79/11,813.88
  6. Step 6: Final answer
    x = 8,842.18

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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.