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Finding the Fourth Proportional to 11,728.44, 17,594.04 and 5,153.82

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Solution

The fourth proportional to 11,728.44, 17,594.04 and 5,153.82 is: 7,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.44 : 17,594.04 = 5,153.82 : x
  2. Step 2: Convert to fraction form
    11,728.44/17,594.04 = 5,153.82/x
  3. Step 3: Cross multiply
    11,728.44x = 17,594.04 × 5,153.82
  4. Step 4: Simplify right side
    11,728.44x = 90,676,515.23
  5. Step 5: Solve for x
    x = 90,676,515.23/11,728.44
  6. Step 6: Final answer
    x = 7,731.34

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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.