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Finding the Fourth Proportional to 11,523.42, 17,288.64 and 5,980.73

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Solution

The fourth proportional to 11,523.42, 17,288.64 and 5,980.73 is: 8,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.42 : 17,288.64 = 5,980.73 : x
  2. Step 2: Convert to fraction form
    11,523.42/17,288.64 = 5,980.73/x
  3. Step 3: Cross multiply
    11,523.42x = 17,288.64 × 5,980.73
  4. Step 4: Simplify right side
    11,523.42x = 103,398,601.46
  5. Step 5: Solve for x
    x = 103,398,601.46/11,523.42
  6. Step 6: Final answer
    x = 8,972.91

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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.