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Finding the Fourth Proportional to 11,866.06, 16,377.66 and 9,874.66

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Solution

The fourth proportional to 11,866.06, 16,377.66 and 9,874.66 is: 13,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.06 : 16,377.66 = 9,874.66 : x
  2. Step 2: Convert to fraction form
    11,866.06/16,377.66 = 9,874.66/x
  3. Step 3: Cross multiply
    11,866.06x = 16,377.66 × 9,874.66
  4. Step 4: Simplify right side
    11,866.06x = 161,723,824.10
  5. Step 5: Solve for x
    x = 161,723,824.10/11,866.06
  6. Step 6: Final answer
    x = 13,629.11

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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.