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Finding the Fourth Proportional to 11,168.42, 15,411.90 and 6,694.64

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Solution

The fourth proportional to 11,168.42, 15,411.90 and 6,694.64 is: 9,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168.42 : 15,411.90 = 6,694.64 : x
  2. Step 2: Convert to fraction form
    11,168.42/15,411.90 = 6,694.64/x
  3. Step 3: Cross multiply
    11,168.42x = 15,411.90 × 6,694.64
  4. Step 4: Simplify right side
    11,168.42x = 103,177,122.22
  5. Step 5: Solve for x
    x = 103,177,122.22/11,168.42
  6. Step 6: Final answer
    x = 9,238.29

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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.