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Finding the Fourth Proportional to 7,766.40, 11,654.46 and 5,171.16

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Solution

The fourth proportional to 7,766.40, 11,654.46 and 5,171.16 is: 7,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.40 : 11,654.46 = 5,171.16 : x
  2. Step 2: Convert to fraction form
    7,766.40/11,654.46 = 5,171.16/x
  3. Step 3: Cross multiply
    7,766.40x = 11,654.46 × 5,171.16
  4. Step 4: Simplify right side
    7,766.40x = 60,267,077.37
  5. Step 5: Solve for x
    x = 60,267,077.37/7,766.40
  6. Step 6: Final answer
    x = 7,759.98

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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.