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Finding the Fourth Proportional to 11,672.35, 16,107.30 and 6,636.49

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Solution

The fourth proportional to 11,672.35, 16,107.30 and 6,636.49 is: 9,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.35 : 16,107.30 = 6,636.49 : x
  2. Step 2: Convert to fraction form
    11,672.35/16,107.30 = 6,636.49/x
  3. Step 3: Cross multiply
    11,672.35x = 16,107.30 × 6,636.49
  4. Step 4: Simplify right side
    11,672.35x = 106,895,935.38
  5. Step 5: Solve for x
    x = 106,895,935.38/11,672.35
  6. Step 6: Final answer
    x = 9,158.05

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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.