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Finding the Fourth Proportional to 8,772.25, 13,160.83 and 5,067.71

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Solution

The fourth proportional to 8,772.25, 13,160.83 and 5,067.71 is: 7,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772.25 : 13,160.83 = 5,067.71 : x
  2. Step 2: Convert to fraction form
    8,772.25/13,160.83 = 5,067.71/x
  3. Step 3: Cross multiply
    8,772.25x = 13,160.83 × 5,067.71
  4. Step 4: Simplify right side
    8,772.25x = 66,695,324.21
  5. Step 5: Solve for x
    x = 66,695,324.21/8,772.25
  6. Step 6: Final answer
    x = 7,602.99

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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.