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Finding the Fourth Proportional to 7,782.67, 11,676.30 and 3,625.12

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Solution

The fourth proportional to 7,782.67, 11,676.30 and 3,625.12 is: 5,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.67 : 11,676.30 = 3,625.12 : x
  2. Step 2: Convert to fraction form
    7,782.67/11,676.30 = 3,625.12/x
  3. Step 3: Cross multiply
    7,782.67x = 11,676.30 × 3,625.12
  4. Step 4: Simplify right side
    7,782.67x = 42,327,988.66
  5. Step 5: Solve for x
    x = 42,327,988.66/7,782.67
  6. Step 6: Final answer
    x = 5,438.75

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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.