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Finding the Fourth Proportional to 11,728.10, 17,577.11 and 4,794.34

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Solution

The fourth proportional to 11,728.10, 17,577.11 and 4,794.34 is: 7,185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.10 : 17,577.11 = 4,794.34 : x
  2. Step 2: Convert to fraction form
    11,728.10/17,577.11 = 4,794.34/x
  3. Step 3: Cross multiply
    11,728.10x = 17,577.11 × 4,794.34
  4. Step 4: Simplify right side
    11,728.10x = 84,270,641.56
  5. Step 5: Solve for x
    x = 84,270,641.56/11,728.10
  6. Step 6: Final answer
    x = 7,185.36

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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.