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Finding the Fourth Proportional to 7,766.93, 11,654.50 and 3,384.73

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Solution

The fourth proportional to 7,766.93, 11,654.50 and 3,384.73 is: 5,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.93 : 11,654.50 = 3,384.73 : x
  2. Step 2: Convert to fraction form
    7,766.93/11,654.50 = 3,384.73/x
  3. Step 3: Cross multiply
    7,766.93x = 11,654.50 × 3,384.73
  4. Step 4: Simplify right side
    7,766.93x = 39,447,335.79
  5. Step 5: Solve for x
    x = 39,447,335.79/7,766.93
  6. Step 6: Final answer
    x = 5,078.88

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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.