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Finding the Fourth Proportional to 8,141.96, 11,234.22 and 4,606.04

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Solution

The fourth proportional to 8,141.96, 11,234.22 and 4,606.04 is: 6,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.96 : 11,234.22 = 4,606.04 : x
  2. Step 2: Convert to fraction form
    8,141.96/11,234.22 = 4,606.04/x
  3. Step 3: Cross multiply
    8,141.96x = 11,234.22 × 4,606.04
  4. Step 4: Simplify right side
    8,141.96x = 51,745,266.69
  5. Step 5: Solve for x
    x = 51,745,266.69/8,141.96
  6. Step 6: Final answer
    x = 6,355.38

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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.