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Finding the Fourth Proportional to 11,956.58, 16,493.25 and 7,175.24

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Solution

The fourth proportional to 11,956.58, 16,493.25 and 7,175.24 is: 9,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.58 : 16,493.25 = 7,175.24 : x
  2. Step 2: Convert to fraction form
    11,956.58/16,493.25 = 7,175.24/x
  3. Step 3: Cross multiply
    11,956.58x = 16,493.25 × 7,175.24
  4. Step 4: Simplify right side
    11,956.58x = 118,343,027.13
  5. Step 5: Solve for x
    x = 118,343,027.13/11,956.58
  6. Step 6: Final answer
    x = 9,897.73

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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.