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Finding the Fourth Proportional to 11,863.98, 17,800.92 and 5,205.27

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Solution

The fourth proportional to 11,863.98, 17,800.92 and 5,205.27 is: 7,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.98 : 17,800.92 = 5,205.27 : x
  2. Step 2: Convert to fraction form
    11,863.98/17,800.92 = 5,205.27/x
  3. Step 3: Cross multiply
    11,863.98x = 17,800.92 × 5,205.27
  4. Step 4: Simplify right side
    11,863.98x = 92,658,594.85
  5. Step 5: Solve for x
    x = 92,658,594.85/11,863.98
  6. Step 6: Final answer
    x = 7,810.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.