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Finding the Fourth Proportional to 11,855.48, 16,360.56 and 6,550.28

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Solution

The fourth proportional to 11,855.48, 16,360.56 and 6,550.28 is: 9,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.48 : 16,360.56 = 6,550.28 : x
  2. Step 2: Convert to fraction form
    11,855.48/16,360.56 = 6,550.28/x
  3. Step 3: Cross multiply
    11,855.48x = 16,360.56 × 6,550.28
  4. Step 4: Simplify right side
    11,855.48x = 107,166,248.96
  5. Step 5: Solve for x
    x = 107,166,248.96/11,855.48
  6. Step 6: Final answer
    x = 9,039.39

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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.