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Finding the Fourth Proportional to 8,736.94, 13,107.48 and 3,807.46

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Solution

The fourth proportional to 8,736.94, 13,107.48 and 3,807.46 is: 5,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.94 : 13,107.48 = 3,807.46 : x
  2. Step 2: Convert to fraction form
    8,736.94/13,107.48 = 3,807.46/x
  3. Step 3: Cross multiply
    8,736.94x = 13,107.48 × 3,807.46
  4. Step 4: Simplify right side
    8,736.94x = 49,906,205.80
  5. Step 5: Solve for x
    x = 49,906,205.80/8,736.94
  6. Step 6: Final answer
    x = 5,712.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.