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Finding the Fourth Proportional to 8,082.09, 12,127.77 and 3,699.59

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Solution

The fourth proportional to 8,082.09, 12,127.77 and 3,699.59 is: 5,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.09 : 12,127.77 = 3,699.59 : x
  2. Step 2: Convert to fraction form
    8,082.09/12,127.77 = 3,699.59/x
  3. Step 3: Cross multiply
    8,082.09x = 12,127.77 × 3,699.59
  4. Step 4: Simplify right side
    8,082.09x = 44,867,715.98
  5. Step 5: Solve for x
    x = 44,867,715.98/8,082.09
  6. Step 6: Final answer
    x = 5,551.50

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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.