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Finding the Fourth Proportional to 8,313.50, 12,463.67 and 4,151.22

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Solution

The fourth proportional to 8,313.50, 12,463.67 and 4,151.22 is: 6,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.50 : 12,463.67 = 4,151.22 : x
  2. Step 2: Convert to fraction form
    8,313.50/12,463.67 = 4,151.22/x
  3. Step 3: Cross multiply
    8,313.50x = 12,463.67 × 4,151.22
  4. Step 4: Simplify right side
    8,313.50x = 51,739,399.82
  5. Step 5: Solve for x
    x = 51,739,399.82/8,313.50
  6. Step 6: Final answer
    x = 6,223.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.