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Finding the Fourth Proportional to 7,766.18, 11,651 and 2,835.82

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Solution

The fourth proportional to 7,766.18, 11,651 and 2,835.82 is: 4,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.18 : 11,651 = 2,835.82 : x
  2. Step 2: Convert to fraction form
    7,766.18/11,651 = 2,835.82/x
  3. Step 3: Cross multiply
    7,766.18x = 11,651 × 2,835.82
  4. Step 4: Simplify right side
    7,766.18x = 33,040,138.82
  5. Step 5: Solve for x
    x = 33,040,138.82/7,766.18
  6. Step 6: Final answer
    x = 4,254.36

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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.