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Finding the Fourth Proportional to 7,771.88, 11,654.74 and 3,386.27

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Solution

The fourth proportional to 7,771.88, 11,654.74 and 3,386.27 is: 5,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.88 : 11,654.74 = 3,386.27 : x
  2. Step 2: Convert to fraction form
    7,771.88/11,654.74 = 3,386.27/x
  3. Step 3: Cross multiply
    7,771.88x = 11,654.74 × 3,386.27
  4. Step 4: Simplify right side
    7,771.88x = 39,466,096.42
  5. Step 5: Solve for x
    x = 39,466,096.42/7,771.88
  6. Step 6: Final answer
    x = 5,078.06

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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.