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Finding the Fourth Proportional to 8,409.83, 11,600.82 and 4,872.56

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Solution

The fourth proportional to 8,409.83, 11,600.82 and 4,872.56 is: 6,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.83 : 11,600.82 = 4,872.56 : x
  2. Step 2: Convert to fraction form
    8,409.83/11,600.82 = 4,872.56/x
  3. Step 3: Cross multiply
    8,409.83x = 11,600.82 × 4,872.56
  4. Step 4: Simplify right side
    8,409.83x = 56,525,633.50
  5. Step 5: Solve for x
    x = 56,525,633.50/8,409.83
  6. Step 6: Final answer
    x = 6,721.38

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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.