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Finding the Fourth Proportional to 8,450.71, 11,655.93 and 5,933.38

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Solution

The fourth proportional to 8,450.71, 11,655.93 and 5,933.38 is: 8,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.71 : 11,655.93 = 5,933.38 : x
  2. Step 2: Convert to fraction form
    8,450.71/11,655.93 = 5,933.38/x
  3. Step 3: Cross multiply
    8,450.71x = 11,655.93 × 5,933.38
  4. Step 4: Simplify right side
    8,450.71x = 69,159,061.94
  5. Step 5: Solve for x
    x = 69,159,061.94/8,450.71
  6. Step 6: Final answer
    x = 8,183.82

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Why These Related Problems?

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