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Finding the Fourth Proportional to 11,546.58, 17,297.10 and 6,003.54

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Solution

The fourth proportional to 11,546.58, 17,297.10 and 6,003.54 is: 8,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.58 : 17,297.10 = 6,003.54 : x
  2. Step 2: Convert to fraction form
    11,546.58/17,297.10 = 6,003.54/x
  3. Step 3: Cross multiply
    11,546.58x = 17,297.10 × 6,003.54
  4. Step 4: Simplify right side
    11,546.58x = 103,843,831.73
  5. Step 5: Solve for x
    x = 103,843,831.73/11,546.58
  6. Step 6: Final answer
    x = 8,993.47

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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.