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Finding the Fourth Proportional to 11,509.71, 17,265.55 and 3,189.73

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Solution

The fourth proportional to 11,509.71, 17,265.55 and 3,189.73 is: 4,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.71 : 17,265.55 = 3,189.73 : x
  2. Step 2: Convert to fraction form
    11,509.71/17,265.55 = 3,189.73/x
  3. Step 3: Cross multiply
    11,509.71x = 17,265.55 × 3,189.73
  4. Step 4: Simplify right side
    11,509.71x = 55,072,391.66
  5. Step 5: Solve for x
    x = 55,072,391.66/11,509.71
  6. Step 6: Final answer
    x = 4,784.86

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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.