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Finding the Fourth Proportional to 11,600.49, 16,008.53 and 6,295.27

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Solution

The fourth proportional to 11,600.49, 16,008.53 and 6,295.27 is: 8,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.49 : 16,008.53 = 6,295.27 : x
  2. Step 2: Convert to fraction form
    11,600.49/16,008.53 = 6,295.27/x
  3. Step 3: Cross multiply
    11,600.49x = 16,008.53 × 6,295.27
  4. Step 4: Simplify right side
    11,600.49x = 100,778,018.65
  5. Step 5: Solve for x
    x = 100,778,018.65/11,600.49
  6. Step 6: Final answer
    x = 8,687.39

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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.