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Finding the Fourth Proportional to 11,850.67, 17,779.30 and 5,185.98

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Solution

The fourth proportional to 11,850.67, 17,779.30 and 5,185.98 is: 7,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.67 : 17,779.30 = 5,185.98 : x
  2. Step 2: Convert to fraction form
    11,850.67/17,779.30 = 5,185.98/x
  3. Step 3: Cross multiply
    11,850.67x = 17,779.30 × 5,185.98
  4. Step 4: Simplify right side
    11,850.67x = 92,203,034.02
  5. Step 5: Solve for x
    x = 92,203,034.02/11,850.67
  6. Step 6: Final answer
    x = 7,780.40

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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.