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Finding the Fourth Proportional to 11,911.68, 17,860.32 and 5,673.60

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Solution

The fourth proportional to 11,911.68, 17,860.32 and 5,673.60 is: 8,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.68 : 17,860.32 = 5,673.60 : x
  2. Step 2: Convert to fraction form
    11,911.68/17,860.32 = 5,673.60/x
  3. Step 3: Cross multiply
    11,911.68x = 17,860.32 × 5,673.60
  4. Step 4: Simplify right side
    11,911.68x = 101,332,311.55
  5. Step 5: Solve for x
    x = 101,332,311.55/11,911.68
  6. Step 6: Final answer
    x = 8,506.97

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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.