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Finding the Fourth Proportional to 8,324.08, 11,491.84 and 5,675.38

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Solution

The fourth proportional to 8,324.08, 11,491.84 and 5,675.38 is: 7,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.08 : 11,491.84 = 5,675.38 : x
  2. Step 2: Convert to fraction form
    8,324.08/11,491.84 = 5,675.38/x
  3. Step 3: Cross multiply
    8,324.08x = 11,491.84 × 5,675.38
  4. Step 4: Simplify right side
    8,324.08x = 65,220,558.90
  5. Step 5: Solve for x
    x = 65,220,558.90/8,324.08
  6. Step 6: Final answer
    x = 7,835.17

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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.