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Finding the Fourth Proportional to 11,495.44, 17,242.80 and 3,175.96

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Solution

The fourth proportional to 11,495.44, 17,242.80 and 3,175.96 is: 4,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.44 : 17,242.80 = 3,175.96 : x
  2. Step 2: Convert to fraction form
    11,495.44/17,242.80 = 3,175.96/x
  3. Step 3: Cross multiply
    11,495.44x = 17,242.80 × 3,175.96
  4. Step 4: Simplify right side
    11,495.44x = 54,762,443.09
  5. Step 5: Solve for x
    x = 54,762,443.09/11,495.44
  6. Step 6: Final answer
    x = 4,763.84

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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.