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Finding the Fourth Proportional to 8,234.40, 11,362.38 and 4,649.24

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Solution

The fourth proportional to 8,234.40, 11,362.38 and 4,649.24 is: 6,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.40 : 11,362.38 = 4,649.24 : x
  2. Step 2: Convert to fraction form
    8,234.40/11,362.38 = 4,649.24/x
  3. Step 3: Cross multiply
    8,234.40x = 11,362.38 × 4,649.24
  4. Step 4: Simplify right side
    8,234.40x = 52,826,431.59
  5. Step 5: Solve for x
    x = 52,826,431.59/8,234.40
  6. Step 6: Final answer
    x = 6,415.33

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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.