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Finding the Fourth Proportional to 11,711.39, 17,568.02 and 3,813.75

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Solution

The fourth proportional to 11,711.39, 17,568.02 and 3,813.75 is: 5,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.39 : 17,568.02 = 3,813.75 : x
  2. Step 2: Convert to fraction form
    11,711.39/17,568.02 = 3,813.75/x
  3. Step 3: Cross multiply
    11,711.39x = 17,568.02 × 3,813.75
  4. Step 4: Simplify right side
    11,711.39x = 67,000,062.76
  5. Step 5: Solve for x
    x = 67,000,062.76/11,711.39
  6. Step 6: Final answer
    x = 5,720.93

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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.