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Finding the Fourth Proportional to 7,791.50, 11,669.66 and 5,461.88

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Solution

The fourth proportional to 7,791.50, 11,669.66 and 5,461.88 is: 8,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.50 : 11,669.66 = 5,461.88 : x
  2. Step 2: Convert to fraction form
    7,791.50/11,669.66 = 5,461.88/x
  3. Step 3: Cross multiply
    7,791.50x = 11,669.66 × 5,461.88
  4. Step 4: Simplify right side
    7,791.50x = 63,738,196.90
  5. Step 5: Solve for x
    x = 63,738,196.90/7,791.50
  6. Step 6: Final answer
    x = 8,180.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.