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Finding the Fourth Proportional to 7,706, 11,560.92 and 2,234

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Solution

The fourth proportional to 7,706, 11,560.92 and 2,234 is: 3,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706 : 11,560.92 = 2,234 : x
  2. Step 2: Convert to fraction form
    7,706/11,560.92 = 2,234/x
  3. Step 3: Cross multiply
    7,706x = 11,560.92 × 2,234
  4. Step 4: Simplify right side
    7,706x = 25,827,095.28
  5. Step 5: Solve for x
    x = 25,827,095.28/7,706
  6. Step 6: Final answer
    x = 3,351.56

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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.