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Finding the Fourth Proportional to 11,662.38, 16,094.25 and 6,357.29

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Solution

The fourth proportional to 11,662.38, 16,094.25 and 6,357.29 is: 8,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.38 : 16,094.25 = 6,357.29 : x
  2. Step 2: Convert to fraction form
    11,662.38/16,094.25 = 6,357.29/x
  3. Step 3: Cross multiply
    11,662.38x = 16,094.25 × 6,357.29
  4. Step 4: Simplify right side
    11,662.38x = 102,315,734.11
  5. Step 5: Solve for x
    x = 102,315,734.11/11,662.38
  6. Step 6: Final answer
    x = 8,773.14

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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.