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Finding the Fourth Proportional to 7,775.72, 11,663.22 and 2,510.97

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Solution

The fourth proportional to 7,775.72, 11,663.22 and 2,510.97 is: 3,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.72 : 11,663.22 = 2,510.97 : x
  2. Step 2: Convert to fraction form
    7,775.72/11,663.22 = 2,510.97/x
  3. Step 3: Cross multiply
    7,775.72x = 11,663.22 × 2,510.97
  4. Step 4: Simplify right side
    7,775.72x = 29,285,982.97
  5. Step 5: Solve for x
    x = 29,285,982.97/7,775.72
  6. Step 6: Final answer
    x = 3,766.34

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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.