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Finding the Fourth Proportional to 11,772.54, 17,657.19 and 6,844.50

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Solution

The fourth proportional to 11,772.54, 17,657.19 and 6,844.50 is: 10,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.54 : 17,657.19 = 6,844.50 : x
  2. Step 2: Convert to fraction form
    11,772.54/17,657.19 = 6,844.50/x
  3. Step 3: Cross multiply
    11,772.54x = 17,657.19 × 6,844.50
  4. Step 4: Simplify right side
    11,772.54x = 120,854,636.96
  5. Step 5: Solve for x
    x = 120,854,636.96/11,772.54
  6. Step 6: Final answer
    x = 10,265.81

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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.