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Finding the Fourth Proportional to 11,168.32, 16,736.32 and 6,160

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Solution

The fourth proportional to 11,168.32, 16,736.32 and 6,160 is: 9,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168.32 : 16,736.32 = 6,160 : x
  2. Step 2: Convert to fraction form
    11,168.32/16,736.32 = 6,160/x
  3. Step 3: Cross multiply
    11,168.32x = 16,736.32 × 6,160
  4. Step 4: Simplify right side
    11,168.32x = 103,095,731.20
  5. Step 5: Solve for x
    x = 103,095,731.20/11,168.32
  6. Step 6: Final answer
    x = 9,231.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.