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Finding the Fourth Proportional to 11,447.76, 17,134.52 and 6,175.44

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Solution

The fourth proportional to 11,447.76, 17,134.52 and 6,175.44 is: 9,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.76 : 17,134.52 = 6,175.44 : x
  2. Step 2: Convert to fraction form
    11,447.76/17,134.52 = 6,175.44/x
  3. Step 3: Cross multiply
    11,447.76x = 17,134.52 × 6,175.44
  4. Step 4: Simplify right side
    11,447.76x = 105,813,200.19
  5. Step 5: Solve for x
    x = 105,813,200.19/11,447.76
  6. Step 6: Final answer
    x = 9,243.14

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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.