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Finding the Fourth Proportional to 7,816.70, 11,717.94 and 2,882.90

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Solution

The fourth proportional to 7,816.70, 11,717.94 and 2,882.90 is: 4,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.70 : 11,717.94 = 2,882.90 : x
  2. Step 2: Convert to fraction form
    7,816.70/11,717.94 = 2,882.90/x
  3. Step 3: Cross multiply
    7,816.70x = 11,717.94 × 2,882.90
  4. Step 4: Simplify right side
    7,816.70x = 33,781,649.23
  5. Step 5: Solve for x
    x = 33,781,649.23/7,816.70
  6. Step 6: Final answer
    x = 4,321.73

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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.