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Finding the Fourth Proportional to 11,464.88, 17,168.28 and 9,611.12

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Solution

The fourth proportional to 11,464.88, 17,168.28 and 9,611.12 is: 14,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.88 : 17,168.28 = 9,611.12 : x
  2. Step 2: Convert to fraction form
    11,464.88/17,168.28 = 9,611.12/x
  3. Step 3: Cross multiply
    11,464.88x = 17,168.28 × 9,611.12
  4. Step 4: Simplify right side
    11,464.88x = 165,006,399.27
  5. Step 5: Solve for x
    x = 165,006,399.27/11,464.88
  6. Step 6: Final answer
    x = 14,392.34

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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.