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Finding the Fourth Proportional to 7,771.29, 11,654.19 and 2,506.09

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Solution

The fourth proportional to 7,771.29, 11,654.19 and 2,506.09 is: 3,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.29 : 11,654.19 = 2,506.09 : x
  2. Step 2: Convert to fraction form
    7,771.29/11,654.19 = 2,506.09/x
  3. Step 3: Cross multiply
    7,771.29x = 11,654.19 × 2,506.09
  4. Step 4: Simplify right side
    7,771.29x = 29,206,419.88
  5. Step 5: Solve for x
    x = 29,206,419.88/7,771.29
  6. Step 6: Final answer
    x = 3,758.25

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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.