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Finding the Fourth Proportional to 11,937.60, 17,900.24 and 6,318.30

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Solution

The fourth proportional to 11,937.60, 17,900.24 and 6,318.30 is: 9,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.60 : 17,900.24 = 6,318.30 : x
  2. Step 2: Convert to fraction form
    11,937.60/17,900.24 = 6,318.30/x
  3. Step 3: Cross multiply
    11,937.60x = 17,900.24 × 6,318.30
  4. Step 4: Simplify right side
    11,937.60x = 113,099,086.39
  5. Step 5: Solve for x
    x = 113,099,086.39/11,937.60
  6. Step 6: Final answer
    x = 9,474.19

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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.