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Finding the Fourth Proportional to 7,771.20, 11,659.07 and 2,506.10

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Solution

The fourth proportional to 7,771.20, 11,659.07 and 2,506.10 is: 3,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.20 : 11,659.07 = 2,506.10 : x
  2. Step 2: Convert to fraction form
    7,771.20/11,659.07 = 2,506.10/x
  3. Step 3: Cross multiply
    7,771.20x = 11,659.07 × 2,506.10
  4. Step 4: Simplify right side
    7,771.20x = 29,218,808.88
  5. Step 5: Solve for x
    x = 29,218,808.88/7,771.20
  6. Step 6: Final answer
    x = 3,759.89

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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.