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Finding the Fourth Proportional to 8,213.72, 11,334.93 and 4,487.72

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Solution

The fourth proportional to 8,213.72, 11,334.93 and 4,487.72 is: 6,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.72 : 11,334.93 = 4,487.72 : x
  2. Step 2: Convert to fraction form
    8,213.72/11,334.93 = 4,487.72/x
  3. Step 3: Cross multiply
    8,213.72x = 11,334.93 × 4,487.72
  4. Step 4: Simplify right side
    8,213.72x = 50,867,935.38
  5. Step 5: Solve for x
    x = 50,867,935.38/8,213.72
  6. Step 6: Final answer
    x = 6,193.05

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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.