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Finding the Fourth Proportional to 11,777.80, 17,567.48 and 10,961.32

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Solution

The fourth proportional to 11,777.80, 17,567.48 and 10,961.32 is: 16,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.80 : 17,567.48 = 10,961.32 : x
  2. Step 2: Convert to fraction form
    11,777.80/17,567.48 = 10,961.32/x
  3. Step 3: Cross multiply
    11,777.80x = 17,567.48 × 10,961.32
  4. Step 4: Simplify right side
    11,777.80x = 192,562,769.87
  5. Step 5: Solve for x
    x = 192,562,769.87/11,777.80
  6. Step 6: Final answer
    x = 16,349.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.