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Finding the Fourth Proportional to 7,757.60, 11,629.43 and 2,823.78

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Solution

The fourth proportional to 7,757.60, 11,629.43 and 2,823.78 is: 4,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.60 : 11,629.43 = 2,823.78 : x
  2. Step 2: Convert to fraction form
    7,757.60/11,629.43 = 2,823.78/x
  3. Step 3: Cross multiply
    7,757.60x = 11,629.43 × 2,823.78
  4. Step 4: Simplify right side
    7,757.60x = 32,838,937.73
  5. Step 5: Solve for x
    x = 32,838,937.73/7,757.60
  6. Step 6: Final answer
    x = 4,233.13

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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.