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Finding the Fourth Proportional to 8,131.77, 12,201.50 and 5,636.79

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Solution

The fourth proportional to 8,131.77, 12,201.50 and 5,636.79 is: 8,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.77 : 12,201.50 = 5,636.79 : x
  2. Step 2: Convert to fraction form
    8,131.77/12,201.50 = 5,636.79/x
  3. Step 3: Cross multiply
    8,131.77x = 12,201.50 × 5,636.79
  4. Step 4: Simplify right side
    8,131.77x = 68,777,307.28
  5. Step 5: Solve for x
    x = 68,777,307.28/8,131.77
  6. Step 6: Final answer
    x = 8,457.85

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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.