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Finding the Fourth Proportional to 11,800.38, 17,704.83 and 5,952.60

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Solution

The fourth proportional to 11,800.38, 17,704.83 and 5,952.60 is: 8,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.38 : 17,704.83 = 5,952.60 : x
  2. Step 2: Convert to fraction form
    11,800.38/17,704.83 = 5,952.60/x
  3. Step 3: Cross multiply
    11,800.38x = 17,704.83 × 5,952.60
  4. Step 4: Simplify right side
    11,800.38x = 105,389,771.06
  5. Step 5: Solve for x
    x = 105,389,771.06/11,800.38
  6. Step 6: Final answer
    x = 8,931.05

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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.