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Finding the Fourth Proportional to 11,673.06, 16,108.16 and 6,636.57

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Solution

The fourth proportional to 11,673.06, 16,108.16 and 6,636.57 is: 9,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.06 : 16,108.16 = 6,636.57 : x
  2. Step 2: Convert to fraction form
    11,673.06/16,108.16 = 6,636.57/x
  3. Step 3: Cross multiply
    11,673.06x = 16,108.16 × 6,636.57
  4. Step 4: Simplify right side
    11,673.06x = 106,902,850.87
  5. Step 5: Solve for x
    x = 106,902,850.87/11,673.06
  6. Step 6: Final answer
    x = 9,158.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.