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Finding the Fourth Proportional to 8,227.45, 11,343.90 and 5,711.68

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Solution

The fourth proportional to 8,227.45, 11,343.90 and 5,711.68 is: 7,875.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.45 : 11,343.90 = 5,711.68 : x
  2. Step 2: Convert to fraction form
    8,227.45/11,343.90 = 5,711.68/x
  3. Step 3: Cross multiply
    8,227.45x = 11,343.90 × 5,711.68
  4. Step 4: Simplify right side
    8,227.45x = 64,792,726.75
  5. Step 5: Solve for x
    x = 64,792,726.75/8,227.45
  6. Step 6: Final answer
    x = 7,875.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.