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Finding the Fourth Proportional to 6,783.52, 10,167.18 and 3,857.80

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Solution

The fourth proportional to 6,783.52, 10,167.18 and 3,857.80 is: 5,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.52 : 10,167.18 = 3,857.80 : x
  2. Step 2: Convert to fraction form
    6,783.52/10,167.18 = 3,857.80/x
  3. Step 3: Cross multiply
    6,783.52x = 10,167.18 × 3,857.80
  4. Step 4: Simplify right side
    6,783.52x = 39,222,947.00
  5. Step 5: Solve for x
    x = 39,222,947.00/6,783.52
  6. Step 6: Final answer
    x = 5,782.09

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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.