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Finding the Fourth Proportional to 11,850.54, 17,779.10 and 5,185.85

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Solution

The fourth proportional to 11,850.54, 17,779.10 and 5,185.85 is: 7,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.54 : 17,779.10 = 5,185.85 : x
  2. Step 2: Convert to fraction form
    11,850.54/17,779.10 = 5,185.85/x
  3. Step 3: Cross multiply
    11,850.54x = 17,779.10 × 5,185.85
  4. Step 4: Simplify right side
    11,850.54x = 92,199,630.91
  5. Step 5: Solve for x
    x = 92,199,630.91/11,850.54
  6. Step 6: Final answer
    x = 7,780.21

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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.