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Finding the Fourth Proportional to 7,782.11, 11,674.68 and 2,518.42

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Solution

The fourth proportional to 7,782.11, 11,674.68 and 2,518.42 is: 3,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.11 : 11,674.68 = 2,518.42 : x
  2. Step 2: Convert to fraction form
    7,782.11/11,674.68 = 2,518.42/x
  3. Step 3: Cross multiply
    7,782.11x = 11,674.68 × 2,518.42
  4. Step 4: Simplify right side
    7,782.11x = 29,401,747.61
  5. Step 5: Solve for x
    x = 29,401,747.61/7,782.11
  6. Step 6: Final answer
    x = 3,778.12

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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.