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Finding the Fourth Proportional to 7,755.90, 11,634.08 and 2,829.23

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Solution

The fourth proportional to 7,755.90, 11,634.08 and 2,829.23 is: 4,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.90 : 11,634.08 = 2,829.23 : x
  2. Step 2: Convert to fraction form
    7,755.90/11,634.08 = 2,829.23/x
  3. Step 3: Cross multiply
    7,755.90x = 11,634.08 × 2,829.23
  4. Step 4: Simplify right side
    7,755.90x = 32,915,475.38
  5. Step 5: Solve for x
    x = 32,915,475.38/7,755.90
  6. Step 6: Final answer
    x = 4,243.93

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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.