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Finding the Fourth Proportional to 11,908.48, 16,431.60 and 7,189.60

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Solution

The fourth proportional to 11,908.48, 16,431.60 and 7,189.60 is: 9,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.48 : 16,431.60 = 7,189.60 : x
  2. Step 2: Convert to fraction form
    11,908.48/16,431.60 = 7,189.60/x
  3. Step 3: Cross multiply
    11,908.48x = 16,431.60 × 7,189.60
  4. Step 4: Simplify right side
    11,908.48x = 118,136,631.36
  5. Step 5: Solve for x
    x = 118,136,631.36/11,908.48
  6. Step 6: Final answer
    x = 9,920.38

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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.