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Finding the Fourth Proportional to 8,241.38, 11,359.79 and 6,445.67

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Solution

The fourth proportional to 8,241.38, 11,359.79 and 6,445.67 is: 8,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.38 : 11,359.79 = 6,445.67 : x
  2. Step 2: Convert to fraction form
    8,241.38/11,359.79 = 6,445.67/x
  3. Step 3: Cross multiply
    8,241.38x = 11,359.79 × 6,445.67
  4. Step 4: Simplify right side
    8,241.38x = 73,221,457.61
  5. Step 5: Solve for x
    x = 73,221,457.61/8,241.38
  6. Step 6: Final answer
    x = 8,884.62

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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.