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Finding the Fourth Proportional to 11,665.38, 16,098.14 and 6,360.09

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Solution

The fourth proportional to 11,665.38, 16,098.14 and 6,360.09 is: 8,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.38 : 16,098.14 = 6,360.09 : x
  2. Step 2: Convert to fraction form
    11,665.38/16,098.14 = 6,360.09/x
  3. Step 3: Cross multiply
    11,665.38x = 16,098.14 × 6,360.09
  4. Step 4: Simplify right side
    11,665.38x = 102,385,587.43
  5. Step 5: Solve for x
    x = 102,385,587.43/11,665.38
  6. Step 6: Final answer
    x = 8,776.88

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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.